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3A Easter Revision Quiz

Total questions: 114

Worksheet time: 3hrs 24mins

Name
Class
Date
1.

Which of these is the correct definition of lower bound?

a)

the largest value that a number can be (to a specified degree of accuracy)

b)

the smallest value that a number can be (to a specified degree of accuracy)

c)

the range of values (between the upper and lower bounds) in which the precise value could be.

2.

Write down the upper bound of 12.7cm when it is rounded to 1 dp.

a)

12.75

b)

12.65

c)

13

d)

12.8

3.

Which of these is the correct definition of error interval.

a)

the range of values (between the upper and lower bounds) in which the precise value could be.

b)

the smallest value to a degree of accuracy

c)

the middle number in the equation

d)

the largest value to a degree of accuracy

4.

What is the error interval for 5.27 seconds rounded to 2 decimal places (2dp)?

a)

5.26t5.275.26\le t\le5.27

b)

5t<75\le t<7

c)

5.265t<5.2755.265\le t<5.275

d)

5.2t5.285.2\le t\ge5.28

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

What is 2/3 + 4/5?

a)

1 7/15

b)

1 5/6

c)

12/65

d)

1 2/3

9.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

7/9

b)

77/99

c)

2/3

d)

7/99

10.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

13/33

b)

34/99

c)

4/11

d)

12/33

11.
a)

0.012

b)

0.12

c)

1.2

d)

12

12.
a)

340000

b)

340

c)

3400

d)

34000

13.
a)

4.2 × 10-5

b)

4.2 × 106

c)

4.2 × 10-7

d)

4.2 × 10-6

14.

Evaluate...


(4 × 103) × (8 × 1011)

a)

32 × 1014

b)

3.2 × 1014

c)

32 × 1015

d)

3.2 × 1015

15.

Evaluate...


(3 × 10-2) × (6 × 109)

a)

18 × 107

b)

1.8 × 108

c)

18 × 1011

d)

1.8 × 1012

16.

Evaluate...


(3.2 × 1010) ÷ (2 × 1015)

a)

1.6 × 10-5

b)

2.1 × 10-25

c)

1.6 × 10-25

d)

2.1 × 10-5

17.

Calculate


(6 × 102) + (3 × 103)


Give your answer in standard form.

a)

3.6 × 102

b)

3.6 × 103

c)

3,600

d)

9 x 105

18.

Write the answer in scientific notation.

5.3 x 105 + 3.7 x 105 =

a)

99.0 x 105

b)

9.9 x 1010

c)

8.0 x 105

d)

9.0 x 105

19.

What is the reciprocal of 1/4

a)

1

b)

4/1

c)

2

20.

What is the reciprocal of 2/5

a)

2/5

b)

4

c)

5/2

21.

What is the reciprocal of 7

(a)  

22.
10(f + 5)
a)
10f + 50
b)
f + 50 
c)
10f + 5 
d)
b + c 
23.
Which of the following is the correct expansion of:
3p(4p - 7q)?
a)
7p - 10pq
b)
12pq - 21q2
c)
9q
d)
12p2 - 21pq
24.

Expand and simplify the following quadratic expression...


(x + 3)(x + 2)

a)

x2 + 5x + 6

b)

x2 + 5x + 5

c)

x2 + 6x + 6

d)

x2 + 6x + 5

25.

Expand and simplify the following quadratic expression...


(x - 8)(x + 8)

a)

x2 + 16x - 64

b)

x2 + 16x + 64

c)

x2 - 16x + 64

d)

x2 - 64

26.
(3x+2)(2x +3)
a)
6x+ 6x + 6
b)
5x2 + 11x + 6
c)
6x2 + 13x + 6
d)
6x+ 13x + 5
27.
(4x + 2)(x - 1)
a)
4x2 - 7x - 2
b)
4x2 - 2x - 2
c)
4x2 - 9x - 2
d)
4x2 - 7x - 2
28.

25a2 – 50ab is equal to

a)

25a (a – 2b)

b)

5a (5a – 10b)

c)

50a (2a – b)

29.

121x2 – 625y2 is equal to ____________________

a)

(11x – 25y)2

b)

(25x – 11y)2

c)

(11x + 25y) (11x - 25y)

d)

(25x + 11y) (25x - 11y)

30.
Factorise 3x²+12x
a)
3x(x+4)
b)
3(x²+4)
31.
Factor:  x2 - 2x - 24
a)
(x + 6)(x - 4)
b)
(x + 4)(x - 6)
c)
(x - 4)(x - 6))
d)
(x - 3)(x + 8)
32.

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)

33.

s=hm4s=\frac{hm}{4}  Make m the subject of the formula

a)

m=4shm=\frac{4s}{h}  

b)

m=sh4m=\frac{sh}{4}  

c)

m=h4sm=\frac{h}{4s}  

d)

m=s4hm=\frac{s}{4h}  

34.

Express v in terms of t

t=v4+1t=\frac{v}{4}+1  

a)

v=4(t1)v=4\left(t-1\right)  

b)

v=4(t+1)v=4\left(t+1\right)  

c)

v=4t1v=4t-1  

d)

v=4t+1v=4t+1  

35.

P=6x+2P=6x+2  Express x in terms of P.

a)

x=p13x=p-\frac{1}{3}  

b)

x=p613x=\frac{p}{6}-\frac{1}{3}  

c)

x=p6+13x=\frac{p}{6}+\frac{1}{3}  

d)

x=p62x=\frac{p}{6}-2  

36.

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

37.

Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?

a)

96h + 15 = 8

b)

h/96 = 8

c)

8h + 15 = 96

d)

h/8 = 96

38.

The formula d=16t2 represents the distance d, an object falls in t seconds, where d is in feet. Find the distance an object that drops in 3 seconds.

a)

144

b)

96

c)

166

d)

128

39.

Find the missing term in the geometric sequence: 8, 20, 50, 125, _____.

a)

75

b)

200

c)

250

d)

312.5

40.
Find the nth term of...
3,5,7,9...
a)
2n+1
b)
2n-1
c)
2n+2
d)
2n-2
41.
Find the nth term of...
2,1,0,-1... 
a)
-3n+1
b)
-n+3
c)
-2n+4
d)
-4n+2
42.
What is 25% of 2 hours?
a)
45 minutes
b)
30 minutes
c)
0.3 hours
d)
0.5 minutes
43.
Mary decreased her time in the mile walk from 30 minutes to 24 minutes.  What was the percent of decrease?
a)
25%
b)
20%
c)
15%
d)
10%
44.

At a birthday party 40% of the children had an ice-cream. 150 children attended the party. How many had an ice-cream?

a)

60

b)

70

c)

80

d)

90

45.

At a sport club 40% prefer football, 30% basketball and the rest volleyball. 300 children attend this sport club. Find the number of those who prefer volleyball.

a)

70

b)

80

c)

90

d)

100

46.

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

47.

10) An insurance company offers a no-claims discount of 55% for drivers who have not had an accident for four years. If the discounted premium for such a driver is £334, how would the driver have paid before the discount?

a)

£742.22

b)

£408.22

c)

£183.70

d)

£517.70

48.

Which equation is not an example of direct proportion?

a)

y = x

b)

y = 3x

c)

y = - 6x

d)

y = 2/3 x + 5

49.

A recipe for pastry requires 180g of sugar to make 540g of pastry. How many grams of sugar will be needed to make 5400g of pastry?

(a)  

50.

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

a)

35

b)

18

c)

60

d)

50

51.

Which graph represents an inverse proportion relationship?

a)
b)
c)
d)
52.

6 men can paint a building in 15 days. Find the number of days taken for 5 men to paint the same building.

a)

10

b)

14

c)

18

d)

22

53.

If 8 men can assemble 28 cars in one day, how many cars can 20 men assemble in one day?

a)

60

b)

70

c)

80

d)

90

54.

Divide 720kg in the ratio 5:3

a)

300kg:420kg

b)

400kg:320kg

c)

450kg:270kg

d)

420kg:300kg

55.

If $35 is divided into the ratio 2 : 3 : 2, how much is one ratio part worth?

a)

$7

b)

5

c)

$35

d)

$5

56.
Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
57.

Krystal has $3000 invested at a 2% interest rate. Which expression can be used to determine how much money Krystal had after 16 years?

a)

A=3000(1+.02)16A=3000\left(1+.02\right)^{16}

b)

A=3000(1.02)16A=3000\left(1-.02\right)^{16}

c)

A=16(1+.2)3000A=16\left(1+.2\right)^{3000}

d)

A=3000(.2)16A=3000\left(.2\right)^{16}

58.

Steve deposited $5,000 in a savings account that pays 4% interest compounded annually.


Which equation could be used to find the value of the account after 3 years?

a)

A = 5,000(1 + 4)3

b)

A = 5,000(1 + 0.04)3

c)

A = 5,000(1 + 0.4) x 3

d)

A = 5,000(0.04)3

59.

A farm that costs $987,000 depreciates by 12% each year. What is its value after 10 years?

a)

$82,274.11

b)

$98,700

c)

$274,880.46

d)

$306,574

60.

A man bought a car for $60,320. After using it for 2 years, he decides to trade in the car. The company estimated a depreciation of 10% for the first year of its use and a further 15% on its reduced value for the second year. Calculate the value of the car after two years.

(a)  

61.
Find the range of 
126, 118, 119, 117, 126, 127, 118, 124
a)
8
b)
9
c)
10
d)
11
62.
Find the median of
4, 9, 8, 3, 7, 10
a)
7
b)
7.5
c)
8
d)
8.5
63.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
64.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
65.
Erin and Chloe are trying to determine which number is not the mean, median, mode, or range of the data set 4, 3, 15, 11, 3, 8, 7, 5?
a)
3
b)
6
c)
12
d)
11
66.
Ella is a teacher, and scores awarded to her 25 students for an assignment were as follows:
4  7  5  9  8  6  7  7  8  5  6  9  8    5  8  7  4  7  3  6  8  9  7  6  9
What is  the mode?
a)
6
b)
7
c)
8
d)
9
67.

The diagram shows the ages of a group of people.


How many people are there in the group?

a)

44

b)

29

c)

12

d)

16

68.

The diagram shows the heights of Mr Pearce's plants


How many plants have a height of 14cm?

a)

1

b)

4

c)

5

d)

3

69.

How many scores were 26 or below?

a)

10

b)

20

c)

5

d)

25

70.
What is the median length?
a)
40.5 cm
b)
30 cm
c)
24.5 cm
d)
32 cm
71.
What is the Lower Quartile Length?
a)
28 cm
b)
30 cm
c)
33 cm
d)
20 cm
72.

What is the missing number in the cumulative frequency column?

a)

19

b)

9

c)

15

d)

22

73.

When plotting a cumulative frequency graph for grouped data, we should plot the points

a)

At the bottom of each group (far left on the x axis)

b)

In the middle of each group

c)

At the top of each group (far right on the x axis)

74.

Find the mean.

a)

10

b)

20

c)

30

d)

40

75.
a)

135 in2135\ in^2

b)

54 in254\ in^2

c)

130 in2130\ in^2

d)

125 in2125\ in^2

76.
Find the Area.
a)
91 ft2
b)
77 ft2
c)
78 ft2
d)
105 ft2
77.
2. The figure shows a circle inside a triangle.  Which equation could be used to find the area of the shaded region?
a)
A = ½bh - 2πr
b)
A = πr² - ½bh
c)
A = ½bh - πd
d)
A = ½bh - πr²
78.
4. A local restaurant places tissue-paper liners in baskets for yeast rolls like the liner pictured.
About how many square centimeters of tissue paper are needed to make one liner?
a)
200.96 cm2
b)
379.2 cm2
c)
251.2 cm2
d)
253.6 cm2
79.
7. Which of the following is closest to the area of the figure shown?
a)
420 cm2
b)
521 cm2
c)
320 cm2
d)
1,124 cm2
80.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
81.
is the formula for?
a)
arc length
b)
area of a sector
c)
area of a segment
d)
arc measure
82.

What is the green area called?

a)

sector

b)

segment

c)

arc

d)

section

83.

What is the length L called?

a)

circumference

b)

tangent

c)

arc

d)

sector

84.
Find the volume of the figure. Round to the nearest whole number.
a)
1,944 cm³
b)
108 cm³
c)
972 cm³
d)
216 cm³
85.
What is the formula for volume of a CYLINDER?
a)
V = πr²
b)
V = πr²h
c)
V =  ⅓πr²h
d)
V =  ⅓LWH
86.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
87.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
88.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
89.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
90.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
91.
Which figure is the image of MNOP rotated 2700?
a)
LVWC
b)
ABDE
c)
GHFJ
d)
MNOP
92.

Find the scale factor of the enlargement from A to C

a)

2

b)

0.5

c)

3

d)

4

93.

Describe the transformation that takes the yellow shape to the blue shape...

a)

Enlargement

Scale Factor: 3

Centre: (0,0)

b)

Enlargement

Scale Factor: 1/3

Centre: (0,0)

c)

Enlargement

Scale Factor: -3

Centre: (0,0)

d)

Enlargement

Scale Factor: 1/3

Centre: (3,0)

94.

Shape ABCD has been enlarged by, scale factor 2 from the centre (1,1).

What mistake has been made?

a)

The centre of enlargement isn't (1, 1)

b)

The shapes can't end up on top of each other

c)

The whole shape isn't double the size of the original

d)

Nothing - this is correct

95.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
96.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
97.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
98.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

99.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

100.

Find h1

a)

6.69 ft

b)

11.11 ft

c)

9.00 ft

d)

7.43 ft

101.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
102.

There are 12 red roses, 5 yellow roses and 3 white roses in a vase. Felix takes a rose, at random, from the vase.


What is the probability of him not choosing a red rose?

a)

1220\frac{12}{20}

b)

820\frac{8}{20}

c)

812\frac{8}{12}

d)

512\frac{5}{12}

103.

Leon throws a biased coin. The probability of getting tails is 0.4.


Work out the probability of getting heads.

a)

0.4

b)

0.6

c)

0.8

d)

0.2

104.

Wycombe Wanderers play a match of football. The probability that they win the match is 0.28. The probability that they draw the match is 0.55.


Work out the probability that they lose the match.

a)

0.45

b)

0.72

c)

0.83

d)

0.17

105.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)
a)
1/18
b)
2/5
c)
3/7
d)
4/9
106.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
107.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
108.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of picking two red counters.

a)

6/90

b)

5/19

c)

47/90

d)

2/9

109.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
110.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

111.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

112.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

113.

Given the following VENN Diagram answer the following.


P( A | B )

a)

2

b)

.4

c)

.6

d)

.8

114.

45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?

a)

60%

b)

40%

c)

24%

d)

1.7%