Free Printable HOLIDAY PRACTICES QUESTION ON MATHEMATICS FOR SECONDARY SCHOOL S

1.

Choose the correct answer from the given four options:
In an AP, if d = –4, n = 7, a_n = 4, then a is

a)

6

b)

7

c)

20

d)

28

2.

Choose the correct answer from the given four options:
The 10th term of the AP: 5, 8, 11, 14, ... is

a)

32

b)

35

c)

38

d)

25

3.

Choose the correct answer from the given four options:
In an AP if a = –7.2, d = 3.6, a_n = 7.2, then n

a)

2

b)

3

c)

4

d)

5

4.

Choose the correct answer from the given four options:
The 21st term of the AP whose first two terms are –3 and 4 is

a)

17

b)

137

c)

-137

d)

127

5.

If the common difference of an AP is 5, then what is a₁₈ – a₁₃ ?

a)

5

b)

15

c)

25

d)

10

6.

If the 2nd term of an AP is 13 and the 5th term is 25, the common difference is

a)

12

b)

4

c)

3

d)

5

7.

If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be

a)

7

b)

11

c)

18

d)

0

8.

If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is

a)

0

b)

5

c)

6

d)

15

9.

The sum of first five multiples of 3 is

a)

45

b)

55

c)

15

d)

30

10.

The first four terms of an Arithmetic Progression whose first term is -2 and the common difference is -2 is _____

a)

-2, 0, 2, 4

b)

-2, 4, -8, 16

c)

-2, -4, -6, -8

d)

-2, -4, -9, -16

11.

The next term of an AP $\sqrt{7}$ , $\sqrt{28}$ , $\sqrt{63}$ ,......is

a)

$\sqrt{70}$

b)

$\sqrt{84}$

c)

$\sqrt{98}$

d)

$\sqrt{112}$

12.

Which of the following is not an Arithmetic Progression?

a)

1, 4, 7, 10, .....

b)

-5, -2, 1, 4, .....

c)

3, 7, 12, 16, ......

d)

11, 14, 17, 20, .....

13.

How many terms of the arithmetic series 18 + 15 + 12 +...have to be taken so that it sum is zero.
Which formula can be used

a)

Tn

b)

Sn = n/2 [a + Tn]

c)

Sn = n/2 [2a + (n-1)d]

14.

If 7 times the 7^th term of an AP is equal to 11 times its 11^th term, then its 18^th term will be

a)

7

b)

11

c)

18

d)

0

15.

To determine whether a sequence of numbers is an Arithmetic Progression, you can conduct a test on

a)

$T_1-T_2=T_3-T_2$

b)

$T_2-T_1=T_2-T_3$

c)

$T_2-T_1=T_3-T_1$

d)

$T_2-T_1=T_4-T_3$

16.

Is the sequence arithmetic: 0.2, 0.22, 0.222, 0.2222, ....

a)

yes

b)

no

17.

Solve for x.

a)

15

b)

16

c)

18

d)

19

18.

Find the measure of the missing angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

19.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

20.

A convergent sequence is.......

a)

A vertical asymptote

b)

A set of numbers that don't approach a specific value

c)

A set of numbers that stay constant

d)

A set of numbers that approach a specific value

21.

What are the first 6 terms in this sequence?

a_1=0,\ a_{n-1}-8\

a)

0, -8, -16, -24, -32, -40

b)

-8, 0, 8, 16, 24, 32

c)

0, 8, 16, 24, 32, 40

d)

8, 7, 6, 5, 4, 3

22.

Given the pattern shown above, which recursive formula represents the number of triangles in this sequence?

a)

$y=2x+3$

b)

$y=3x+2$

c)

$a_1=2$
$a_n=a_{n-1}+3$

d)

$a_1=3$
$a_n=a_{n-1}+2$

23.

Find the sum of the arithmetic series described:

2 + (-2) + (-6) + (-10)..., S₁₀

a)

-160

b)

-328

c)

-320

d)

-336

24.

The sequence 28, 34, 40, 46, 52, ..., 88 has 11 terms. Find the sum of the 11 terms.

a)

550

b)

638

c)

610

d)

288

25.

What is the rule for the nth term of the geometric sequence with third term –12 and common ratio 3

a)

–(⁴/₃)(3)^n-1

b)

–(³/₄)(3)^n-1

c)

–4(3)^n-1

d)

–(¹/₃)(3)^n-1

26.

Given a sequence of Geometric Progression are 4,16,64,256.....Find T7.

a)

16383

b)

16384

c)

16385

d)

16386

27.

The first three terms of a geometric progression are k-1, k+2, k+8. Find the value of k.

a)

6

b)

4

c)

3

d)

5

28.

The third term and sixth term of a geometric progression are 108 and 2916 respectively. Find the first term and the common ration.

a)

first term = 12,

common ratio = 3

b)

first term= - 16

common ratio = 906

c)

first term = 3,

common ratio = 12

d)

first term = 906

common ratio = -16

29.

The 9th term of the G.P 1, 4, 16, 64,... is

a)

$4^8$

b)

$4^9$

c)

$4^7$

d)

$4^{10}$

30.

What is the common ratio for this geometric progression?

48, 24, 12, 6, ........

a)

2

b)

$\frac{1}{2}$

c)

3

d)

$\frac{1}{3}$

31.

Find the 7th term of the geometric progression
2, $\frac{2}{3}$ , $\frac{2}{9}$ , $\frac{2}{27}$ , …

a)

$\frac{2}{4374}$

b)

$\frac{2}{1458}$

c)

$\frac{2}{729}$

d)

$\frac{2}{2187}$

32.

The nth term of a G.P is 128 and the sum of its n terms is 225. If its common ratio is 2, then its first term is

a)

1

b)

3

c)

8

d)

none of these.

33.

Which formula is used to find the explicit equation for geometric sequences?

a)

a_n = a_n-1 + d

b)

a_n = a_n-1 * r

c)

a_n = a₁ + d(n-1)

d)

a_n = a₁ * r^n-1

34.

Which sequence is represented by the equation 2(7)^n-1 ?

a)

7, 14, 28, 56...

b)

2, 14, 98, 686...

c)

2, 9, 16, 23...

d)

7,9,11,13...

35.

Find the sum of first 7 terms of geometric progression below:

4 - 8 - 16 - 32...

a)

195

b)

172

c)

202

d)

145

36.

In a GP the 3rd term is 24 and the 6th term is 192. The 10th term is

a)

3070

b)

3072

c)

3068

d)

3074

37.

The 9th term of the G.P 1, 4, 16, 64,... is

a)

$4^8$

b)

$4^9$

c)

$4^7$

d)

$4^{10}$

38.

a)

4/p

b)

5/p

c)

14/p²

d)

4/p²

39.

a)

a²/6

b)

2a/3a

c)

3a/2a

d)

3/2

40.

a)

A.

b)

B.

c)

C.

d)

D.

41.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

42.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

43.

Simplify.

a)

A

b)

B

c)

C

d)

D

44.

Divide and Simplify

a)

A

b)

B

c)

C

d)

D

45.

Simplify.

a)

A

b)

B

c)

C

d)

D

46.

Simplify.

a)

(x+6)/(x+4)

b)

(x+6)(x+4)

c)

(x+6)

d)

(x+6)/(x-5)

47.

a)

A

b)

B

c)

C

d)

D

48.

a)

a

b)

b

c)

c

d)

d

49.

a)

A

b)

B

c)

C

d)

D

50.

a)

A

b)

B

c)

C

d)

D

51.

Solve the equation.

a)

x = -73/11

b)

v = -73

c)

v = -73/11

d)

v = 73/11

52.

3. Mitchell has a small bag with twelve M&Ms in it. Five of the M&Ms are yellow. Two are green. One is orange. Four are brown. What fraction of the M&Ms are brown?

a)

5/12

b)

2/12

c)

1/12

d)

4/12

53.

Caroline collected 3 ¹/4 bags of bottles to take to the recycling center. ²/₃ of the bags are plastic bottles.

The recycling center only accepts plastic bottles. How many bags will the recycling center accept?

a)

1 bag

b)

1 ¹/₆ bags

c)

2 ¹/₆ bags

d)

3 ¹/₄ bags

54.

Natalie is making a frame for a picture she drew.
The length of the picture is 11 1/9 inches, and the width of the picture is 7 1/4 inches. How much longer is the picture than it is wide?

a)

4 31/36 inches

b)

3 31/36 inches

c)

3 5/6 inches

d)

2 31/36 inches

55.

A chef had 7 avocados. How many servings of guacamole could he make if each bowl uses one-fourth of an avocado?

a)

7

b)

1/28

c)

28

d)

24

56.

A farmer was dividing up his one-half of an acre of land between his 4 children. since each child got the same amount of land, what fraction of the acre did each get?

a)

8

b)

1/4

c)

1/2

d)

1/8

57.

Tia has 15 dresses. One day, she buys "d" more dresses. Write an expression for the new number of dresses.

a)

15 + d

b)

15d

c)

15 - d

58.

Ty signed up for a gym membership. There is a one-time fee of $40 and a cost of $10 per month. Write an algebraic expression for the cost for "m" months.

(a)

59.

Zane bought a new phone. There was a $200 down payment plus a $10 monthly fee. Write an algebraic expression for the cost for "m" months.

a)

200+10m

b)

200m+10m

c)

200m+10

60.

What is the expression for "six less than y"

a)

6- y

b)

6 < y

c)

y - 6

61.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

62.

Mike purchased 4.5 pounds of grass seed. The grass seed cost $1.22 per pound. How much did Mike spend on grass seed?

a)

add

b)

subtract

c)

multiply

d)

divide

63.

Raj finds 37 acorns in his front yard. He finds 29 acorns in his backyard. How many acorns does Raj find in all? What is the key word? What operation does it help me solve?

a)

how many

b)

finds

c)

in all

d)

addition

e)

subtraction

64.

Shelby had 32 rocks. She finds 33 more rocks at the park and gives 28 rocks to George. How many rocks does she have now? What are the key words? Choose more than one. What are the operations it help you solve?

a)

finds

b)

gives to

c)

how many

d)

addition and subtraction

e)

addition only

65.

Find the solution of the given simultaneous equations.

y\ =\ 2x-3

3x-2y=4

a)

(2, 1)

b)

$\left(-\frac{7}{3},-\frac{23}{3}\right)$

c)

(-7, -17)

d)

(7, 4)

e)

no solution

66.

Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.

a)

pencil: 13 cents

ruler: 23 cents

b)

pencil: 15 cents

ruler: 23.50 cents

c)

pencil: 12 cents

ruler: 25 cents

d)

pencil: 18 cents

ruler: 26 cents

67.

John is two years older than Paula. Three times John's age plus four times Paula's age is 55 years. How old are John and Paula?

a)

John is 11 years old and Paula is 9 years old.

b)

John is 5 years old and Paula is 3 years old.

c)

John is 9 years old and Paula is 7 years old.

d)

John is 14 years old and Paula is 12 years old.

68.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

69.

Solve by substitution:
$2x-3y=-1$
$y=x-1$

a)

(3, 4)

b)

(4, 3)

c)

(4, 4)

d)

(3, 3)

70.

Solve by elimination:
$-6x+6y=6$
$-6x+3y=-12$

a)

(-5, 6)

b)

(5, -6)

c)

(-5, -6)

d)

(5, 6)

71.

what is the unknown information (x) in this problem?

a)

The name of the destination

b)

the total distance to travel

c)

how many more miles does he need to travel

d)

the amount of miles he has traveled so far

72.

WHAT IS THE EQUATION REPRESENTING THIS SITUATION:

The 2 smallest in the world are Vatican City and Monaco. Vatican city is1.37 squared kilometers smaller than Monaco,, which is 1.81 squared kilometers in area. What is the area of Vatican city?

a)

2=1.37 + 1.81

b)

1.81 - 1.37 = v

c)

1.81 + 1.37 = v

73.

A used mountain bike costs $79.95. This is $120 less than the cost of a new one. If c is the cost of the new bike, which equation can you use to find the cost of a new bike?

a)

120 - 79.95 = c

b)

79.95 = c -120

74.

The goal of the School Bake Sale is to raise $125 more than last year’s sale. Last year the Bake Sale raised $320. What is the goal this year?

a)

x = 125 + 320

b)

x + 125 = 320

75.

What does the "I" in the interest formula stand for?

a)

Principal

b)

Interest

c)

Rate

d)

Time

76.

True or False. When I have a percent I have to divide it by 100% to change it into a decimal.

a)

True

b)

False

77.

Jared invests $10,000 in a savings account that pays 3% simple interest. How many years will it take for the account to grow to $12,700, if he makes no withdrawals or deposits?

a)

7 years

b)

12 years

c)

9 years

d)

22 years

78.

You have $3600 that you invest at 4% simple interest. How much would the balance be after 7 years?

a)

3600

b)

4608

c)

1008

d)

5000

79.

If you wanted to amount of interest an account has earned after being compounded annually. What would you have to do after you found "A" using the formula A=P(1+r)^t?

a)

Add A (total amount) plus P (original amount)

b)

A (total amount) is the same a interest

c)

Look for I in the formula

d)

Subtract P (original amount) from A (total amount)

80.

How do you write 23% as a decimal?

a)

23.0

b)

2.3

c)

0.23

d)

0.023

81.

Alexia is buying a Nissan Versa and takes out a 4-year simple interest car loan for $15000 at a 3% interest rate. What is the principal?

a)

4 years

b)

$15000

c)

3%

d)

Nissan Versa

82.

Christine takes out a 4-year simple interest car loan for $15000 at a 3% interest rate. Is she does not make any payments, how much interest will she owe at the end of 4 years?

a)

$1800

b)

$18000

c)

$16800

d)

$33000

83.

Sara takes out a $30000 loan for her new Honda Civic. She will pay back the entire loan at the end of 8 years. It is a compound interest loan with an interest rate of 7.25%. How much will she have to pay at the end of 8 years?

a)

$17400.00

b)

$30725.00

c)

$52516.97

d)

$2351982.31

84.

In the compound interest formula A=P(1+r)^t what does the A stand for?

a)

The amount of interest

b)

The total amount

c)

The interest rate

d)

The time

85.

Which is the converse of:
"If a figure is a circle with radius r, then its circumference in 2(pi)r."

a)

If a figure has a circumference of 2(pi)r, then its a circle with radius r.

b)

If a figure doesn't have a circumference, then it's a circle with a radius of r.

c)

If a figure isn't a circle with radius r, then its circumference isn't 2(pi)r

d)

If a figure isn't a circle, then it doesn't have a circumference.

86.

Contrapositive of:
If an integer ends with 0, then it's divisible by 2.

a)

If an integer ends with 2 then it's divisible by 0.

b)

If an integer doesn't end in 0, then it's not divisible by 2.

c)

If an integer isn't divisible by 2, then it's doesn't end in 0.

d)

If an integer is divisible by 2, then it ends with 0.

87.

Which statement is a good definition of a rectangle?

a)

A rectangle is a shape with four sides.

b)

A rectangle is a shape with two pairs of parallel sides.

c)

A rectangle is a quadrilateral with four congruent angles.

d)

A rectangle is a parallelogram with four congruent sides.

88.

Which conclusion can you make?
If a whole number ends in 0, then it is divisible by 10.
If a whole number is divisible by 10, then it is divisible by 5.

a)

If a whole number ends in 10 then it's divisible by 0.

b)

If a whole number ends in 5, then it's divisible by 10.

c)

If a whole number ends in 0, then it's divisible by 5.

d)

No conclusion can be made.

89.

Which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore...

a)

look out for the snowplows while driving to school.

b)

the big test will not be given today.

c)

the roads will be hard to drive on.

d)

you should call the school to see if school is canceled.

90.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

a)

You are at least 25 years old

b)

You can rent a car

c)

You can go on a road trip

d)

Invalid

91.

Determine whether this sentence is a statement or not. If yes, determine its truth value.

"Perak is located in Malaysia."

a)

Not a statement.

b)

Statement. False.

c)

Statement. True.

92.

p : x is even number.

q : x can be divided by 2.

What is the implication for the statements above?

a)

If x is even number, then x can be divided by 2.

b)

If x can be divided by 2, then x is even number.

c)

If x cannot be divided by 2, then x is not even number.

d)

If x is not even number, then x cannot be divided by 2.

93.

Implication can be divided into several type, which is

a)

Statement

b)

Inverse

c)

Converse

d)

Contrapositive

94.

What is the counter-example for the statement below?

"All prime numbers is even number."

a)

1 is odd number.

b)

3 is odd number.

c)

5 is even number.

d)

7 is a prime number.

95.

Determine the conclusion for each deductive argument to form a valid and sound deductive.

Premise 1 : All reptiles are cold blooded.

Premise 2 : Lizards are reptiles.

Conclusion : (a) .

96.

Determine whether the given argument are strong (cogent or not) or weak.

Premise 1 : Amin from 4 DG got A in previous test.

Premise 2 : Aishah from 4 DG got A in previous test.

Premise 3 : Kevin from 4 DG got A in previous test.

Conclusion : All students from 4 DG got A in previous test.

a)

Strong but not cogent.

b)

Weak.

c)

Strong and cogent,

d)

Weak but cogent.

97.

The difference between the highest and the lowest score is _______________________________.

a)

range

b)

standard deviation

c)

variance

d)

average deviation

98.

How do you find the range of a set of numbers?

a)

Subtract the largest number from the smallest number

b)

It is the number that occurs most often

c)

Add all the numbers and divide by how many numbers there are

d)

Subtract the smallest number from the largest number

99.

LET'S DISCUSS!

Lena is standing on the beach when she sees a tall sailing ship pass by 1,000 meters offshore. She holds a ruler vertically 24 inches in front of her eyes, and the ship appears to be $\frac{7}{8}$ inch high. The figure shown represents the situation as two similar right triangles. Find the approximate height (h) of the sailing ship above the water rounded to the nearest tenth.

(a)

100.

To find the _________ you add up all the numbers and then divide by how many numbers you have.

a)

Mean

b)

Median

c)

Mode

d)

Range

101.

The masses of six children are 34.5 kilograms, 42.6 kilograms, 39.8 kilograms, 40.1 kilograms, 53.4 kilograms, and 33.8 kilograms. Find the mean mass.

a)

40.7 kg

b)

40

c)

41

d)

50

102.

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

a)

1

b)

2

c)

3

d)

4

103.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

95%

c)

99.7%

d)

50%

104.

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the sample standard deviation of Ervin's scores?

a)

511.33

b)

22.61

c)

438.48

d)

20.94

105.

The number of goals scored by seven forwards in one soccer season were 8, 6, 4, 8, 3, 1, and 5. Find the mean number of goals scored by the seven forward

a)

20

b)

10

c)

3

d)

5

106.

Determine the height of the tallest pupil

(a)

107.

Determine the difference in height between the tallest pupil and the shortest pupil

(a)

108.

State the value of q

(a)

109.

Determine the difference between the longest time and shortest time taken.

(a)

110.

Based on the dot plot, which ferry has more consistent number of passangers?

(a)

111.

Which of the following is not a measure of dispersion?

a)

range

b)

variance

c)

standard deviation

d)

mode

112.

Find the standard deviation for the following data; 86, 95, 78, 67, and 85.

a)

82.2

b)

5

c)

9.33

d)

10.43

113.

Calculate the variance and the standard deviation of the set of the data

a)

Variance = 3.25, Standard deviation = 1.80

b)

Variance = 1.64, Standard deviation = 1.28

c)

Variance = 8.95, Standard deviation = 2.99

d)

Variance = 12.2, Standard deviation = 3.49

114.

Even if each number in a set of the data is added with a constant value, the value of the variance keeps unchanged.

a)

False

b)

True

115.

Given the range is 5, if each data is multiplied with 3, what is the value of new range?

a)

5

b)

8

c)

10

d)

15

116.

The interquartile range of a set of data is 18. Find the new interquartile range if each value in the set of data is multiplied by 4.

a)

18

b)

72

c)

288

d)

54

117.

Which of the following represents direct variation?

a)

y = kx

b)

y = k/x

c)

y = x/k

d)

y = mx + b

118.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/4

b)

Yes; 4

c)

Yes; 2

d)

No

119.

Tina worked on science homework, drove to dance class, and finished her project for Spanish class.

a)

Parallel

b)

Not Parallel

120.

Angle 1 and Angle 8 are...

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

121.

When copying line segment AB using a straight edge and a compass, the compass should be used to:

a)

Draw an arc above point A

b)

Measure the length of segment AB

c)

Draw an arc between point A and point B

d)

Measure half the length of line segment AB

122.

AB

a)

is a ray.

b)

is a line segment.

c)

is an arrow.

d)

is a polygon.

123.

What is this?

a)

Compass

b)

Circle creator

c)

Pencil swingy-thing

d)

Arc maker

124.

Which of the following lines is PARALLEL to the graph of $y=6x-3$ ?

a)

$y=-6x+5$

b)

$y=-\frac{1}{6}x-3$

c)

$y=6x+1$

d)

$y=\frac{1}{6}x-3$

125.

What is the name of the instrument we measure an angle with?

a)

ruler

b)

compass

c)

protractor

d)

straight edge

126.

What angle is measured?

a)

35 degrees

b)

145 degrees

c)

None of the above

127.

Name the second step in this construction

a)

Draw a baseline

b)

Open compass to a radius and construct a big arc

c)

Intersect the big arc by putting compass point at A and constructing a small arc

d)

Put compass point at B and draw an arc at C

128.

What is the name of the instrument used to construct the angle in the diagram attached?

a)

ruler

b)

compass

c)

protractor

d)

straight edge

129.

What can be the size of the angle illustrated?

a)

89 degrees

b)

101 degrees

c)

189 degrees

d)

30 degrees

130.

What is illustrated in the picture attached?

a)

parallel lines

b)

perpendicular lines

c)

reflex angles

d)

acute angles

131.

When measuring the angle shown, the origin of the instrument should be placed at point ..........

a)

A

b)

B

c)

C

d)

None mentioned

132.

The first 2 steps are shown when constructing a triangle. What can be the 3rd step?

a)

Set your compass to 7cm and with the point on B draw an arc

b)

Label this point C

c)

Join A to C then B to C

d)

None mentioned

133.

When you bisect a 120 degree angle, you will get ...........

a)

240 degree angle

b)

Two 240 degree angle

c)

60 degree angle

d)

30 degree angle

134.

When constructing an angle, what is the first step?

a)

Open compass to an appropriate radius

b)

Label point A

c)

Draw a baseline

d)

Draw an arc

135.

The side of a cube whose surface area is 600 cm² is____

a)

10 cm

b)

10 cm²

c)

60 cm

d)

6 cm

136.

Choose the correct answer to find the area of a circle

a)

$\pi r^2$

b)

$2\pi r^2$

c)

$2\pi r$

137.

The length of the edge of a cube is 60 cm. Find the volume of the cube.

a)

$180\ cm^3$

b)

$21600\ cm^2$

c)

$216000\ cm^3$

d)

$720\ cm^3$

138.

Which of the following is the correct Pythagoras' Theorem?

a)

$c^2=a^2+b^2$

b)

$\ c^2=a^2-b^2$

c)

$a^2=b^2+c^2$

139.

Solve for c

a)

7

b)

9

c)

13

140.

Find the volume of a right circular cylinder if r = 7 cm and h = 14 cm.

a)

1112 cu cm

b)

512 cu cm

c)

1078 cu cm

d)

2156 cu cm

141.

Volume of a cube is 125 cu cm. Find its total surface area.

a)

150 sq cm

b)

25 sq cm

c)

150 sq cm

d)

100 sq cm

142.

The total surface area of a cuboid with dimension 10cm X 6cm X 5cm is

a)

280sq.cm

b)

300sq.cm

c)

360sq.cm

d)

600sq.cm

143.

Calculate the volume.

a)

90 cm³

b)

150 cm³

c)

180 cm³

144.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

127.3 yd³

b)

347.6 yd³

c)

287.7 yd³

d)

147.7 yd³

145.

There are less than 180 days left of school.

a)

>

b)

>

c)

<

d)

<

146.

Haley hopes to make higher than a 90 in Math this quarter.

a)

>

b)

>

c)

<

d)

<

147.

Little Italy's special events room can seat at most 50 guests.

a)

>

b)

>

c)

<

d)

<

148.

Find the surface area.

a)

12 m²

b)

16 m²

c)

24 m²

d)

20 m²

149.

A pyramid has a square base. Each side of the base is 9 cm. The slant height of each triangle is 14 cm. What is the surface area?

a)

126 cm²

b)

144 cm²

c)

252 cm²

d)

333 cm²

150.

Find the slant height of the pyramid.

a)

28 cm

b)

25 cm

c)

21 cm

d)

24 cm

151.

Find the surface area of the pyramid

a)

336 m²

b)

192 m²

c)

384 m²

d)

240 m²

152.

Find the surface area of the cone.

a)

131.95 mm²

b)

223.1 mm²

c)

62.83 mm²

d)

103.67 mm²

153.

What is surface area? Round to the nearest hundredth

a)

1339.73

b)

1003.36

c)

320.78

d)

742.04

154.

A right pentagonal pyramid has a height of 6.9 cm and a slant height of 7 cm. The pyramid's base is a regular pentagon with a side length of 2 cm and an apothem of 1.4 cm.
Which is the lateral area of the pentagonal pyramid?

a)

7 cm²

b)

14 cm²

c)

35 cm²

d)

70 cm²

155.

What is the volume of the figure?

a)

V = 1800 mm³

b)

V = 600 mm³

c)

V = 900 mm³

d)

V = 1200 mm³

156.

What is the volume of the figure?

a)

V = 840 ft³

b)

V = 420 ft³

c)

V = 140 ft³

d)

V = 280 ft³

157.

Find the volume to the nearest hundredth.

a)

12.57 ft³

b)

37.68 ft³

c)

18.84 ft³

d)

6.28 ft³

158.

Find the volume of the figure.

a)

150.80 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

152 cm³

159.

$2\pi rH+2\pi r^2$

Find the total surface area. Use 3.14 for pi. Round to the nearest tenths.

a)

84.8

b)

141.3

c)

56.5

d)

254.3

160.

$2\pi rH+2\pi r^2$
Find the total surface area. Use 3.14 for pi. Round to the nearest tenths.

a)

45.2

b)

100.5

c)

55.3

d)

155.7

161.

$2\pi rH+2\pi r^2$
Find the surface area

a)

60.4 m²

b)

188.4 m²

c)

94.2 m²

d)

881.9 m²

162.

$2\pi rH+2\pi r^2$
Find the surface area of the figure. Don't forget to divide the diameter by 2 to find the radius. Round to the nearest tenth.

a)

628.3 m²

b)

1445.1 m²

c)

1245 m²

d)

816.8 m²

163.

$2\pi rH+2\pi r^2$
Find the surface area of a cylinder with a radius of 4 and a height of 3. Use 3.14 for π

a)

175.84 mm²

b)

709.89 mm²

c)

75.36 mm²

d)

100.48 mm²

164.

$V=\pi r^2H$
What is the volume of the cylinder? Express the approximate answer rounded to the nearest tenth.

a)

4976.3 km³

b)

4976.3π km³

c)

1584 km²

d)

6336 km³

e)

4976.3 km²

165.

$V=\pi r^2H$
Find the volume of the figure. Round to the nearest tenth.

a)

128.6 units³

b)

1,286.1 units³

c)

401.9 units³

d)

5,144.6 units³

166.

Find the surface area of a cube with sides 4 mm

a)

72 mm²

b)

96 mm²

c)

108 mm²

d)

64 mm²

167.

Find the surface area of a cuboid 4 cm in height, 2 cm length and 5 cm in width.

a)

40 cm²

b)

46 cm²

c)

58 cm²

d)

76 cm²

168.

Find the surface area of a cuboid with length = l, width = w and height = h

a)

2hl + 2wl + 2hw

b)

l*h*w

c)

6hl

d)

4hw

169.

A cube has six faces. Theo builds a bigger cube out of 27 little cubes. He paints the outside of the big cube and lets the paint dry. He then breaks it up into the original 27 cubes. What if the total number of unpainted faces on the little cubes?

a)

162 faces

b)

108 faces

c)

81 faces

d)

54 faces

170.

work out the volume of the 3D shape.

a)

192 cm³

b)

108 cm³

c)

144 cm³

d)

64 cm³

171.

If a rectangular cuboid is 9 cm long and 8 cm wide with volume of 450 cm³ then height of cuboid in 'cm' is ....

a)

12.25

b)

6.25

c)

8.25

d)

9.25

172.

If a rectangular tank is 21 cm long, 13 cm wide and 18 cm high and contains water up to a height of 11 cm then total surface area is ....

a)

1450 cm²

b)

1350 cm²

c)

1200 cm²

d)

1021 cm²

173.

A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. How many cubes have no face coloured?

a)

24

b)

16

c)

8

d)

4

174.

How many faces does a cuboid have?

a)

6

b)

8

c)

4

d)

12

175.

Find the TSA of a cuboid with dimensions,

l = 5cm, b = 3cm, h = 4cm.

a)

54cm²

b)

92cm²

c)

94cm²

d)

62cm²

176.

There are two cuboidal boxes in the shown figure.

Which box requires the lesser amount of material to make?

a)

Box (a) requires lesser amount.

b)

Box (b) requires lesser amount.

c)

Box (a) and (b) require same amount.

177.

Participants from China, Japan and Korea will be attending a conference. 96 of them are from China, 72 are from Japan and 48 are from Korea. The organiser wishes to group them into discussion groups such that the participants are distributed equally among the groups. The number of discussion topics that the organiser needs to prepare depends on the number of discussion groups formed. What is the greatest number of discussion topics that the organiser has to prepare for the conference?

a)

23

b)

24

c)

25

d)

26

178.

Canteen A, canteen B and Canteen C repeat their lunch menus every 12 days, 8 days and 10 days respectively. All three canteens serve noodle soup today. How many days later will all the three canteens serving noodle soup again?

a)

100 days

b)

110 days

c)

120 days

d)

130 days

179.

Find the difference between the square of 7 and the sum of the first 7 odd numbers.

a)

0

b)

1

c)

2

d)

3

180.

A rectangular block of metal is 0. 24 m long, 0. 19 m wide and 0. 15 m high. If the metal block is melted to form a cube, find the length of each side of the cube.

a)

0. 19 m

b)

0. 29 m

c)

0. 39 m

d)

0. 49 m

181.

A cuboid, with dimensions 28 cm by b cm by 15 cm, has a volume of 6 720 cm³. Find the breadth, b, of the cuboid.

a)

14 cm

b)

15 cm

c)

16 cm

d)

17 cm

182.

A metal cube has a volume 27 cm³. It is to be painted on all its faces. Find the total area of the faces that will be coated with paint.

a)

51 cm²

b)

52 cm²

c)

53 cm²

d)

54 cm²

183.

What is the y-intercept?

a)

40

b)

10

c)

1

d)

2

184.

What is the y-intercept of this graph?

a)

1

b)

2

c)

3

d)

420

185.

Ranjan was facing south. He took 7/8 turns to his left and then he turned 135 degrees in a clockwise direction. Which direction is he facing now?

a)

North

b)

North-East

c)

East

d)

South-East

186.

Solve using BODMAS:
[{(364 x 8) + 85} - 3474/9] + 3 x 15/5

a)

2620

b)

7833

c)

1620

d)

6833

187.

The age of a son is 5years more than 1/5th the age of his father. If his father's age is 30, what is the age of his son?

a)

11 years

b)

12 years

c)

13 years

d)

7 years

188.

Find the solution of the given simultaneous equations.

y\ =\ 2x-3

3x-2y=4

a)

(2, 1)

b)

$\left(-\frac{7}{3},-\frac{23}{3}\right)$

c)

(-7, -17)

d)

(7, 4)

e)

no solution

189.

Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.

a)

pencil: 13 cents

ruler: 23 cents

b)

pencil: 15 cents

ruler: 23.50 cents

c)

pencil: 12 cents

ruler: 25 cents

d)

pencil: 18 cents

ruler: 26 cents

190.

I have only 2 cent and 5 cent coins. The total number of coins is 25, and their total value is 92 cents. How many of each coin do I have?

a)

number of 2 cent coins: 16

number of 5 cent coins: 9

b)

number of 2 cent coins: 8

number of 5 cent coins: 17

c)

number of 2 cent coins: 13

number of 5 cent coins: 12

d)

number of 2 cent coins: 11

number of 5 cent coins: 14

191.

A baker's basket contains bread rolls and sandwich loaves. The loaves weigh 750 g and rolls 150 g. The total number of loaves and rolls is 16 and their total weight is 6 kg. How many rolls and how many loaves are in the basket?

a)

There are 7 sandwich loaves and 9 bread rolls in the basket.

b)

There are 12 sandwich loaves and 4 bread rolls in the basket.

c)

There are 8 sandwich loaves and 8 bread rolls in the basket.

d)

There are 6 sandwich loaves and 10 bread rolls in the basket.

192.

Find the solution of the simultaneous equations given the graph.

a)

(0, 2)

b)

(2, 2)

c)

(-1, 3)

d)

no solution

193.

Over the last five games, what is the average difference between the Laker's final score and the other teams?

a)

11

b)

14

c)

26

d)

2

194.

The number of pages that Mikayla wrote in her journal each day from Monday to Friday is shown below:

9, 8, 12, 6, 10

What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

11

195.

The Variance of a data is 2.5. Find the new variance if each data is multiplied by 3.

a)

22.5

b)

7.5

c)

13.5

196.

if each number in a set of data is added or substracted with a constant, the range, interquartile range, variance and standard deviation also will change.

a)

True

b)

False

197.

Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

a)

15 pizzas

b)

252 sticks

c)

18 sticks

d)

18 pizzas

198.

A car travels 420 miles in 8 hours. If the car continues at the same rate, how far will it travel in 12 hours?

a)

630 miles

b)

630 hours

c)

600 miles

d)

540 hours

199.

12 ounce shampoo bottle lasts Mike 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

a)

24 weeks

b)

6 weeks

c)

30 weeks

d)

20 weeks

200.

If I wanted to place a fence around my backyard to keep my dog from running away, I would be looking at?

a)

Perimeter

b)

Area

201.

15 of the students in a history class passed a History test. If these students are 75% of all the students in the class, how many students are in the history class? Round you answer to the nearest whole number if necessary.

a)

20 students

b)

11 students

c)

32 students

d)

24 students

202.

Beeny went to his local zoo where 55% of it's exhibits featured reptiles. If the zoo features 20 exhibits in total, how many of the zoo's exhibits feature reptiles? Round your answer to the nearest whole number if necessary.

a)

20 exhibits

b)

11 exhibits

c)

32 exhibits

d)

24 exhibits

203.

At a construction job for a store, 24 painters were tasked with painting the interior. These painters made up 75% of the painting crew, so how many painters in all worked on this job? Round your answer to the nearest whole number if necessary.

a)

20 painters

b)

32 painters

c)

11 painters

d)

24 painters

204.

For one English test, Mary had to answer 25 questions. Of these 25 questions, Mary answered 5 of them correctly. What percent did Mary get on her English test? Round your answer to the nearest whole number if necessary.

a)

20%

b)

40%

c)

60%

d)

80%

205.

Ms. Kings second period P.E. Class has 56 students. 40 of these students enjoy playing baseball. This holds true for all 77 students in all of Ms. King's classes. How many of the 77 students enjoy playing baseball?

a)

55

b)

48

c)

114

d)

168

206.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

207.

Kamari completed his math homework in 1/3 of an hour.

He had to complete 4 math problems.

He spent an equal amount of time on each problem.

How much of an hour did Kamari spend on each problem?

a)

1/12

b)

1/7

c)

3/4

d)

12

208.

Keon is planting to rectangular gardens. His rose garden is 6 feet long and 3/8 foot wide. His tulip garden is 6 feet long and 6/8 foot wide.

Which statement is true about the two gardens?

a)

The rose and tulip gardens have the same area

b)

The rose garden has an area that is 3/8 square foot less than the tulip garden.

c)

The tulip garden is smaller than the rose garden.

d)

The area of the tulip garden is double the area of the rose garden.

209.

In Maddie’s garden, 1/3 of her plants are tomatoes. Of those tomatoes, 2/5 of them are ripe. What fraction of the plants are ripe tomatoes?

a)

2/8

b)

3/15

c)

3/8

d)

2/15

210.

You have inherited land that was purchased for $30,000 in 1990. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

a)

$83,579

b)

$10,217

c)

$14,963,655

d)

$28,500

211.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

212.

$\frac{3}{x-4}+\frac{x}{2x+7}$

a)

$\frac{x^2+2x+21}{\left(x-4\right)\left(2x+7\right)}$

b)

$\frac{x^2+6x+21}{\left(x-4\right)\left(2x+7\right)}$

c)

$\frac{x^2+6x+7}{\left(x-4\right)\left(2x+7\right)}$

d)

$\frac{x^2+2x+7}{\left(x-4\right)\left(2x+7\right)}$

213.

$\frac{3}{x-4}+\frac{x}{2x+7}$

a)

$\frac{x^2+2x+21}{\left(x-4\right)\left(2x+7\right)}$

b)

$\frac{x^2+6x+21}{\left(x-4\right)\left(2x+7\right)}$

c)

$\frac{x^2+6x+7}{\left(x-4\right)\left(2x+7\right)}$

d)

$\frac{x^2+2x+7}{\left(x-4\right)\left(2x+7\right)}$

214.

$\frac{1}{x^2-13x+42}+\frac{x+1}{x-6}-\frac{x}{x-7}$

a)

$-\frac{6}{\left(x-6\right)\left(x-7\right)}$

b)

$\frac{2\left(x^2+6x-3\right)}{\left(x-6\right)\left(x-7\right)}$

c)

$\frac{-x^2+8x-6}{\left(x-6\right)\left(x-7\right)}$

d)

$\frac{x^2-4x-6}{\left(x-6\right)\left(x-7\right)}$

215.

$\frac{2}{x-1}-\frac{1}{x-2}+\frac{3\left(x+2\right)}{\left(x-1\right)\left(x-2\right)}$

a)

$\frac{4x+3}{\left(x-1\right)\left(x-2\right)}$

b)

$\frac{6x+1}{\left(x-1\right)\left(x-2\right)}$

c)

$\frac{4x+1}{\left(x-1\right)\left(x-2\right)}$

d)

$\frac{6x-1}{\left(x-1\right)\left(x-2\right)}$

216.

a)

18/30

b)

24/30

c)

18/24

d)

24/18

217.

a)

A

b)

B

c)

C

d)

D

218.

If y = 2 satisfies the equation 1.3 – ky = 0.2y + 0.3, find the value of k.

a)

0.1

b)

0.2

c)

0.3

d)

0.4

219.

If P = { prime factors of 24}and Q = {prime factors of 35}

List the members of PUQ

a)

{2, 3, 5}

b)

{3, 5, 7}

c)

{2, 3, 5, 7}

d)

{2, 3, 5, 7, 11}

220.

Factorise 2m – 2n + mx – nx

a)

(2 + x)(m - n)

b)

(2 + m)(n -x)

c)

2x(m - n)(m + n)

d)

(2 + n)(m + x)

221.

Simplify $(4/5\times21/4)+(21/2\div5/6)$

a)

$\frac{73}{4}$

b)

$\frac{84}{5}$

c)

3

d)

9

222.

Express the number 0.0063075 correct to three significant figures

a)

0.006

b)

0.0060

c)

0.0063

d)

0.00631

223.

In a class of 28 pupils, 13 have pencils, 9 have erasers and 9 have neither pencils nor erasers. How many pupils have both pencils and erasers?

a)

3

b)

5

c)

6

d)

9

224.

Atta is n years old. His sister’s age is 5 years more than half of his age. How old id his sister

a)

$\frac{n}{2}$ + $\frac{5}{2}$

b)

$\frac{n}{2}$ – 5

c)

5 - $\frac{n}{2}$

d)

$\frac{n}{2}$ + 5

e)

$\frac{2}{n}$ + $\frac{2}{5}$

225.

Prashant booked a cab to visit Lingaraj Temple from Patia. The cab fare included a fixed charge of Rs x and a variable charge of Rs y per km for first one hour of journey and then Rs z per km for rest of the time of journey. Distance between Patia and Lingaraj Temple is 20km. (z>y)

What amount Prashant will pay if he completed his journey in one hour?

a)

20x + y

b)

x+ 20y

c)

xy +20

d)

20xyz

226.

Prashant booked a cab to visit Lingaraj Temple from Patia. The cab fare included a fixed charge of Rs x and a variable charge of Rs y per km for first one hour of journey and then Rs z per km for rest of the time of journey. Distance between Patia and Lingaraj Temple is 20km. (z>y)

What amount Prashant will pay if returns to Patia in the same cab and travels only 5 km in the second hour of journey?

a)

x + 35y + 5z

b)

35xy + 5z

c)

xyz + 5

d)

5

227.

Prashant booked a cab to visit Lingaraj Temple from Patia. The cab fare included a fixed charge of Rs x and a variable charge of Rs y per km for first one hour of journey and then Rs z per km for rest of the time of journey. Distance between Patia and Lingaraj Temple is 20km. (z>y)

Abhishant called Prashant and asked to pick him, which added 12km to his journey. How much more Prashant has to pay if they completed the journey in one hour?

a)

12y

b)

x + 12y

c)

12x

d)

Prashant paid the same amount.

228.

Two circles are drawn inside a big circle with diameters 2/3rd and 1/3rd of the diameter of the big circle as shown in the figure. The length of the diameter of the circle is 18 cm.

The radius of both circles enclosed inside the big circle are______ and _______.

a)

6cm, 3cm

b)

12cm, 6cm

c)

8cm, 4cm

d)

18cm, 9cm

229.

Ramu put a square fence around his vegetable garden to keep the deer away from eating his corn. One side was 10 m in length. If the posts were placed 2 m apart, how many posts did he use?

a)

16

b)

20

c)

10

d)

5

230.

Anil can do a piece of work in 5 days and Ankur in 4 days. How long will they take do the same work, if they work together?

a)

12/9

b)

9/20

c)

30/9

d)

20/9

231.

Which 3-D shape can you make with 4 triangles and a square?

a)

cone

b)

cube

c)

square pyramid

d)

rectangular prism

232.

It takes 20 workers 6 hours to build a wall. How much time would 30 workers need to complete the job?

a)

4 hours

b)

16 hours

c)

40 hours

d)

2 hours

233.

It takes 10 waitresses 3 hours to serve food. How much food would be served if 5 more waitresses were hired?

a)

2 hours

b)

1 hour

c)

8 hours

d)

3 hours

234.

It takes 20 workers 6 hours to build a wall. How much time would 30 workers need to complete the job?

a)

4 hours

b)

16 hours

c)

40 hours

d)

2 hours

235.

981 + 5327 + 3692 =

a)

4078

b)

10,000

c)

9437

d)

3018

236.

What is the coordinate of so that point Q is $\frac{2}{5}$ the distance from B to A.

a)

-17

b)

-14

c)

-11

d)

-8

237.

Find the coordinates of Point R so that it is $\frac{3}{7}$ The distance from D to C.

a)

4

b)

8

c)

12

d)

16

238.

Point Q is _______ (what fraction?) the distance from C to D.

a)

5/7

b)

2/3

c)

1/3

d)

2/7

239.

A group of 3 friends each have video games at their home. Then each friend buys 5 more video games. Now the three friends have a total of 30 video games. How many video games did each friend start with?

a)

3(x+5) = 30

b)

x(3+5) = 30

c)

5(x+3) = 30

d)

30(3+5) = x

240.

You decide to rent a bike for $25 plus $3.00 per hour. If you spent a total of $40.00, how many hours did you rent the bike?

a)

1 hour

b)

4 hours

c)

2 hours

d)

5 hours

241.

For a field trip, 13 students rode in cars and the rest filled seven buses. How many students were in each bus if 251 students were on the trip?

a)

231

b)

5

c)

65

d)

34

242.

Half of your baseball card collection got wet and was ruined. Bought 11 cards to replace some that were lost. How many did you begin with if you now have 31?

a)

40

b)

51

c)

73

d)

62

243.

Paul bought a notebook for $2.50 and 3 pencils. He spent a total of $5.47. How much did each pencil cost?

a)

$.99

b)

$2.97

c)

$7.97

d)

$1.17

HOLIDAY PRACTICES QUESTION ON MATHEMATICS FOR SECONDARY SCHOOL S

Total questions: 243

Worksheet time: 7hrs 18mins

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