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3B Revision quiz 2: the Saga Continues

Total questions: 105

Worksheet time: 4hrs 55mins

Name
Class
Date
1.
3 ⅗ x 2 ⅔ =
a)
5 6/15
b)
9 3/5
c)
6 2/5
d)
18/40
2.
4 ⅛ ÷ 1 ⅚ =
a)
2 ¼
b)
4 5/48
c)
1 ⅓
d)
4 ¼
3.
What is 8/9 - 5/6?
a)
1/18
b)
3/4
c)
6/7
d)
10/12
4.

Solve the equation x2 - x - 12 = 0

a)

-3, 4

b)

12

c)

1, 12

d)

3, -4

5.

True or false? 1/(x - y) = 1/x - 1/y

a)

True

b)

False

6.
Simplify: 4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
7.
(x+9)(x-9)
a)
x2-18x-81
b)
x2-81
c)
x2+81
d)
x2+18x-81
8.
(x-8)(x+1)
a)
x2-9x-8
b)
x2-7x-8
c)
x2-7x+8
d)
x2+9x-8
9.
(x-8)(x+1)
a)
x2-9x-8
b)
x2-7x-8
c)
x2-7x+8
d)
x2+9x-8
10.

Find the nth term of the following sequence...


5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

11.

Find the nth term of the following sequence...


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

a)

7n+3

b)

7n-3

c)

3n+7

d)

3n-7

12.
Find the nth term of...
3,1,-1,-3...
a)
5n+3
b)
5n-2
c)
3n+5
d)
-2n+5
13.
Find the nth term of...
3,1,-1,-3...
a)
5n+3
b)
5n-2
c)
3n+5
d)
-2n+5
14.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
15.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
16.

4(4+4x)=96

a)

5

b)

1.5

c)

9

d)

10

17.

Round 325683 to 3 significant figures

a)

326000

b)

326, 000

c)

326

d)

325000

18.

round 29.684

to 2 d.p.

a)

29

b)

29.68

c)

29.684

d)

29.69

19.

Round

4.674 to 2 sig. fig.

a)

4.67

b)

4.6

c)

4.7

20.
Identify the hypotenuse.
a)
x
b)
z
c)
w
21.

Which equation represents the situation?

a)

y = 2/15x + 10

b)

y = 15x + 10

c)

y = 2x + 15

d)

y = 15x + 2

22.

 y=(x−d+f)8y=\frac{\left(x-d+f\right)}{8}  

Rearrange so x is subject;

a)

 8y−d+f=x8y-d+f=x  

b)

 x=8y−d−fx=8y-d-f  

c)

 x=8y−f+dx=8y-f+d  

23.

The range of the set of scores 8, 9, 11, 6, 9, 8, 5, 7, 13, 6 equals

a)

7

b)

9

c)

4

d)

8

24.

From the set of scores 3, 5, 4, 6, 5, 5, 3, 5, 4, 5 the mode is

a)

6

b)

5

c)

4.5

d)

4

25.

What is the difference between the mean and the mode of scores 30, 50, 60, 30, 70?

a)

2

b)

12

c)

18

d)

20

26.

The median of the set of scores 2, 5, 3, 6, 2, 2, 7, 8, 2, 3, 4 equals

a)

2

b)

3

c)

4

d)

5

27.

From a normal pack of 52 playing cards, one card is selected at random. The probability of a diamond is

a)

113\frac{1}{13}

b)

213\frac{2}{13}

c)

14\frac{1}{4}

d)

34\frac{3}{4}

28.

A card is chosen at random from a pack of 52 playing cards. What is the probability that the card is red?

a)

14\frac{1}{4}

b)

13\frac{1}{3}

c)

12\frac{1}{2}

d)

34\frac{3}{4}

29.

In a toss of two coins, find the probability of having two tails.

a)

12\frac{1}{2}

b)

13\frac{1}{3}

c)

14\frac{1}{4}

d)

1

30.

A bag contains four white, three red, and two black balls. If a ball is drawn at random, the probability of a white ball is

a)

39\frac{3}{9}

b)

49\frac{4}{9}

c)

29\frac{2}{9}

d)

59\frac{5}{9}

31.

What is the median?

a)

The number in the middle when the numbers are in order from least to greatest.

b)

The difference between the largest and smallest number.

c)

The average

d)

The number that appears most often.

32.

The number of miles that Jenna cycled each week for a 7-week period is shown:

36, 42, 28, 52, 48, 36, 31

What is the median number of miles Jenna cycled?

a)

24

b)

39

c)

36

d)

52

33.

12. a group of people took part in a test to see how long they could hold their breath. The result are shown in frequency diagram.


what is the modal class ?

a)

80-90

b)

50-60

c)

60-70

d)

70-80

34.

three runners take part in marathon. Table shows their time record for 1 year during marathon. Who is the most consistent in running?

a)

andi

b)

bart

c)

chris

35.

How many more people liked goldfish than snakes?

a)

7 - 1 = 6

b)

6 - 3 = 3

c)

6 - 1 = 5

d)

6 - 2 = 4

36.
How many children participated in the survey?
a)
34
b)
30
c)
32
d)
6
37.
How many students spent over 40 minutes but under 60 minutes studying?
a)
22 Students
b)
30 Students
c)
8 Students
d)
5 Students
38.

Find the mean age. You may want to write out the table with an extra column.

a)

2.6

b)

6.5

c)

5.7

d)

5.5

39.

Find the median age

a)

7

b)

6.5

c)

6

d)

7.5

40.

Find the mode

a)

7

b)

5

c)

8

d)

6

41.

Find the mean number of phones. You may want to copy out the table with an extra column.

a)

2.56

b)

2.3

c)

1.5

d)

2.2

42.

Find the mean number of pets. You may need to copy out the table with an extra column.

a)

0.87

b)

1.55

c)

1.68

d)

1.45

43.

Find the median number of pets.

a)

0.5

b)

1

c)

1.5

d)

2

44.

Find the mode.

a)

2

b)

50

c)

3

d)

28

45.

The ratio of clubs to hearts in a hand of playing cards is 6 : 1


What fraction of the cards are clubs?

a)

1/6

b)

6/1

c)

1/7

d)

6/7

46.

The ratio of clubs to hearts in a hand of playing cards is 6 : 1


What fraction of the cards are hearts?

a)

1/6

b)

6/1

c)

1/7

d)

6/7

47.

In a fruit bowl 3/5 of the fruit are apples. The rest are oranges.


What is the ratio of apples to oranges?

a)

3 : 5

b)

5 : 3

c)

3 : 2

d)

3 : 8

48.

In a box of sweets 7/10 of the sweets are red. The rest are purple.


What is the ratio of red sweets to purple sweets?

a)

3 : 7

b)

7 : 3

c)

3 : 10

d)

7 : 10

49.

In a bunch of flowers 3/8 of the flowers are daffodils. The rest are carnations.


What is the ratio of daffodils to carnations?

a)

3 : 8

b)

5 : 3

c)

3 : 5

d)

5 : 8

50.
Split £20 into the ratio 7:3
a)
£14 : £6
b)
£7 : £3
c)
£6 : £14
d)
£70 : £30
51.
Split £128 into the ratio 9:7
a)
£72 : £56
b)
£100 : £28
c)
£90 : £70
d)
£28 : £100
52.
Split £72 into the ratio 5:3
a)
£45 : £27
b)
£50 : £30
c)
£60 : £12
d)
£27 : £45
53.
A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?
a)
4 : 5
b)
10 : 13
c)
3:4
d)
3:5
54.
On an airplane there are two seats on the left side and three seats on the right side.  There are 90 seats on the right side of the plane.  How many seats are on the left side?
a)
80 seats
b)
60 seats
c)
30 seats
55.

A 6-gram package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-gram package?

a)

25 pieces

b)

35 pieces

c)

75 pieces

d)

70 pieces

56.
Two slices of Dan’s Famous Pizza have 230
Calories. How many Calories would you expect to be in 5 slices of the same pizza?
a)
2.5 calories
b)
575 calories
c)
250 calories
d)
460 calories
57.
There are 80 students in Mr. Bass’ classes.  The ratio of boys to girls is 2 : 3.
How many boys are in the classes?
How many girls?
a)
Boys: 32
Girls: 48
b)
Boys: 48
Girls: 32
c)
Boys: 5
Girls: 15
d)
Boys: 15
Girls: 5
58.

Austin got 72% of the questions correct on his last math quiz. If there were 25 total questions, how many did he answer correctly?

a)

4

b)

72

c)

18

d)

12

59.

9 is 45% of what number?

(a)  

60.

9 is 45% of what number?

(a)  

61.

Find 72% of 325.

(a)  

62.

A local bakery sold 50 loaves of bread in one day. If 70% of these were sold in the afternoon, how many loaves were sold in the afternoon?

(a)  

63.

Rosa and her friends are eating out for dinner. The bill was $45.80. They want to leave a 20% tip. How much should they leave for a tip (gratuity)?

a)

$9.16

b)

$20

c)

$45.80

d)

$54.96

64.

At Best Buy they have a 42" TV that sells for $1250.00 and is on sale for 15%. The sales tax is 6%. What is the final cost?

a)

$1128.26

b)

$1026.05

c)

$1126.25

d)

$1234.76

65.

Megan bought beads for $9.95. She received a 10% discount. She then paid a sales tax of 10%. How much did she pay for the beads

a)

$9.95

b)

$9.85

c)

$1.00

d)

$8.95

66.

You want to buy a TV that is originally $1450 on sale for 15% off. The store is going out of business and will be marking down the TV another 30% off the sales price. Ho much will the TV cost?

a)

$1232.50

b)

$797.50

c)

$916.79

d)

$862.75

67.

The attendance for the basketball game was estimated to be 15,000 people but 12,500 people attended. What was the percent error?

a)

16.67%

b)

20%

c)

2500%

d)

80%

68.

1) A camera costs £180 in a 10% sale. What was the pre-sale price?

a)

£200

b)

£18

c)

£198

d)

£162

69.

2) After fuel prices rose by 15%, a family’s annual heating bill was £1654. What would the bill have been without the price increase?

a)

£1438.26

b)

£1945.88

c)

£248.10

d)

£1500

70.

3) The cost of a holiday, including VAT at 20% is £540. What is the pre-VAT price?

a)

£648

b)

£450

c)

£675

d)

£432.80

71.

What should replace the star?

a)

2.5

b)

0.25

c)

0.025

d)

0.0025

72.

To decrease something by 12% you would multiply by ...

a)

0.12

b)

0.78

c)

1.12

d)

0.88

73.

£3500 is invested for 2 years at 4.1% p.a. compound interest. Work out the total amount in the account after 2 years.

a)

£3792.88

b)

£3791

c)

£3541

d)

£3802.88

74.

Albert's annual salary is £28 400. His manager tells him that his salary will increase by 2.3% per annum. What will Albert's salary be after 3 years. (Answers to the nearest pound)

a)

£30 515

b)

£26 485

c)

£30 405

d)

£34 693

75.

The length of a rectangle is increased by 20%.

The width of the rectangle is decreased by 20%.

What is the effect on the area of the rectangle?

a)

no change

b)

4% increase

c)

4% decrease

d)

44% increase

76.
If m = 3, x = 2, and c = 1, calculate y:
y = mx + c
a)
7
b)
6
c)
5
d)
8
77.
If m = 3, c = 5 and y = 11, calculate x:
y = mx + c
a)
x = 2
b)
x = 38
c)
x = 8.67
d)
x = -2.67
78.
Make x the subject of y = mx + 1
a)
x = (y - 1)/m
b)
x = y - 1/m
c)
x = y/m - 1
d)
x = my - 1
79.
Make x the subject:
N = (180 + x)/2
a)
x = 2N -180
b)
x = N - 180
c)
x = N/2 -180
d)
x = N -180/2
80.
Make r the subject:
C = 2πr
a)
r = C/2π
b)
r = C - 2π
c)
r = 2πC
d)
r = Cπ/2
81.
Make r the subject:
A = πr2
a)
r = √(A/π)
b)
r = √Aπ
c)
r = Aπ2
d)
r = (Aπ)2
82.

Make w the subject of the formula

 y=3w−ay=3w-a  

a)

 w=y3+aw=\frac{y}{3}+a  

b)

 w=y+a3w=y+\frac{a}{3}  

c)

 w=y+a3w=\frac{y+a}{3}  

d)

 w=y−a3w=\frac{y-a}{3}  

83.

Find a formula for the perimeter of the rectangle.

a)

3x+13x+1

b)

6x+26x+2

c)

2x2+12x^2+1

d)

2x2+x2x^2+x

84.

Express v in terms of t

 t=v4+1t=\frac{v}{4}+1  

a)

 v=4(t−1)v=4\left(t-1\right)  

b)

 v=4(t+1)v=4\left(t+1\right)  

c)

 v=4t−1v=4t-1  

d)

 v=4t+1v=4t+1  

85.
Expand 2x(x+3)
a)
2x²+6x
b)
2x²+6
86.
Factorise x²+4x
a)
x(x+4)
b)
4x(x+1)
87.
Factorise 3x²+12x
a)
3x(x+4)
b)
3(x²+4)
88.
Expand 2x(x+3)
a)
2x²+6x
b)
2x²+6
89.
Factor:  x2 + 13x + 30
a)
(x + 3)(x + 10)
b)
(x + 5)(x + 6)
c)
(x + 2)(x + 15)
d)
(x + 1)(x + 30)
90.
Factor:  x2 - 2x - 24
a)
(x + 6)(x - 4)
b)
(x + 4)(x - 6)
c)
(x - 4)(x - 6))
d)
(x - 3)(x + 8)
91.

Expand and simplify the following quadratic expression...


(x + 4)(x + 6)

a)

x2 + 10x + 24

b)

x2 + 10x + 10

c)

x2 + 24x + 10

d)

x2 + 24x + 24

92.

Factorise the following quadratic expression...


x2 + 12x + 32

a)

(x + 16)(x + 2)

b)

(x + 8)(x + 4)

c)

(x + 6)(x + 6)

d)

(x + 32)(x + 1)

93.

Factorise the following quadratic expression...


x2 + 13x + 40

a)

(x + 8)(x + 5)

b)

(x + 10)(x + 4)

c)

(x + 20)(x + 2)

d)

(x + 40)(x + 1)

94.

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

95.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

96.

Solve:

4x - y = 17

7x - y = 32

a)

x = 5

y = 3

b)

x = -5

y = 3

c)

x = 5

y = -3

d)

x = -5

y = -3

97.

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

98.

Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

99.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which simultaneous equations represent this situation?

a)

x+y=134

x+y=120

b)

3x+3y=134

4x+3y=120

c)

4x+3y=134

3x+3y=120

d)

7xy=134

6xy=120

100.
A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.
a)
59 adults and 141 children
b)
40 adults and 160 children
c)
60 adults and 140 children
d)
41 adults and 159 children
101.
Rectangle A is 3 times longer than rectangle B and twice as wide. If the perimeter of A is 50cm and the perimeter of B is 20cm, find the length and width of A.
a)
15 and 20
b)
5 and 15
c)
15 and 10
d)
5 and 10
102.
-3(4x - 10) = 42
a)
x = 0
b)
x = 1
c)
x = -1
d)
no solution
103.
Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
104.
Solve: x + 3x - 2x = 12
a)
2
b)
6
c)
-2
d)
-6
105.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4

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