Free Printable 3rd Form CAT 2 Revision Quiz

1.

Increase £350 by 12%...

a)

£392

b)

£308

c)

£42

d)

£408

2.

Decrease £140 by 22%...

a)

£109.20

b)

£100.80

c)

£30.80

d)

£39.20

3.

What percentage change is equivalent to:

a decrease of 20% followed by a decrease of 35%?

a)

55% percent decrease

b)

15% decrease

c)

40% decrease

d)

48% decrease

4.

Liam bought a new car for £23 000. After one year the car had decreased in value by 20%. In the following year, the car decreased in value by a further 17%.

Calculate the value of the car after two years.

a)

£18400

b)

£15272

c)

£14490

d)

£13336

5.

The price of a T-shirt has been reduced by 15% in the sale. It now costs £17. Which calculation would give the original cost?

a)

17 x 0.85

b)

17 x 1.15

c)

$17\div0.85$

d)

$17\div1.15$

6.

The amount of chocolates in a tub of celebrations has been increased by 25%. If there are 65 sweets in the tub now, how many were there originally?

a)

$65\div0.75$

b)

$65\times0.75$

c)

$65\times1.25$

d)

$65\div1.25$

7.

If 15 bricks weigh 150kg.

What would 8 bricks weigh?

(a)

8.

Sam earns £21 for 3 hours work.

How much would he earn if he worked 5 hours?

(a)

9.

Which statement best describes an inverse proportion relationship between y and x?

a)

y increases then x will decrease

b)

y increases then x will increase

c)

y increases then x will remain the same

d)

y decreases then x will decrease

10.

12 men can dig a pond in 8 days. How many men would be needed to dig it in 6 days?

a)

20

b)

15

c)

16

d)

24

11.

Which graph represents a direct proportion relationship?

a)

b)

c)

d)

12.

Given that y is inversely proportional to x, what is the general equation linking x and y?

a)

b)

c)

d)

13.

What type of proportion does the table represent?

a)

Direct

b)

Inverse

c)

Neither

14.

A branch of applied mathematics that deals with the collection, organization or presentation, analysis and interpretation of data.

a)

Statistics

b)

Census

c)

Population

d)

Survey

15.

Which set of data matches Table A?

a)

4, 6, 1, 3, 4, 2

b)

3, 2, 4, 5, 4, 1, 3

c)

1, 3, 0, 4, 6, 4, 0

d)

5, 1, 2, 4, 4, 1

16.

For this table of data, what how many values were in the class interval 30-40?

a)

35

b)

140

c)

4

d)

10

17.

Find the mean.

a)

10

b)

20

c)

30

d)

40

18.

What is the modal class of this distribution?

a)

20-29

b)

30-39

c)

40-49

d)

50-59

19.

The value of X in the table is

a)

32

b)

70

c)

35

d)

38

20.

The mean of ungrouped data can be computed by dividing the __________.

a)

First score by the total number of values

b)

Middle score by the total number of values

c)

Sum of all the measurements or the values by the total number of measurements

d)

Sum of all the measurements or the values by 10

21.

The mean of two numbers is 10, and one number is 6 more than the other. What is the value of the smaller number?

a)

6

b)

7

c)

8

d)

9

22.

What is the midpoint of the time interval 51-55?

a)

51

b)

52

c)

53

d)

55

23.

What is the estimated mean of the grouped data?

a)

21

b)

1288

c)

106

d)

61.33

24.

For a data containing 15 items arranged in ascending order, what item is the median of the data

a)

7th item

b)

8th item

c)

6th and 7th item

d)

7th and 8th item

25.

What is the area of this parallelogram?

a)

3.6 m²

b)

4.5 m²

c)

5 m²

26.

Find the area of the trapezium.

a)

16 cm²

b)

30 cm²

c)

32 cm²

d)

60 cm²

27.

Calculate the area of this shape.

a)

28cm²

b)

56cm²

c)

180cm²

d)

18cm²

28.

____________ is the distance around the outside edges of a shape

a)

Perimeter

b)

Area

c)

Radius

d)

Diameter

29.

Find the height of the trapezium, given that its area is 150 cm².

a)

12 cm

b)

21.4 cm

c)

1.95 cm

d)

6 cm

30.

What is the perimeter of this triangle?

a)

9 m

b)

20 m

c)

14 m

d)

10 m

31.

What is the area of the shape?

a)

57 cm²

b)

45 cm²

c)

63 cm²

d)

51 $cm^2$

32.

What is the area of the shape?

a)

106 $m^2$

b)

70 $m^2$

c)

96 $m^2$

d)

114 $m^2$

33.

What is the formula for area of a circle given the radius?

a)

A = πr

b)

A = 2πr

c)

A = πd

d)

A = πr²

34.

What is a line from the center point to the edge of the circle called?

a)

diameter

b)

radio

c)

radius

d)

pi

35.

If the radius of a circle is 5 cm, what is its area?

a)

10π cm²

b)

20π cm²

c)

25π cm²

d)

30π cm²

36.

what is the area of a circle with the diameter of 10cm ?

a)

66cm

b)

78.5cm

c)

66.5cm

d)

10m

37.

What does "circumference" mean?

a)

The space a circle takes up.

b)

The distance around a circle.

c)

A line from one side of a circle to the other.

d)

A line from the centre of circle to the edge.

38.

Find the area of the sector, rounding your answer to 1d.p.

a)

67.1cm²

b)

67.0cm²

c)

16.8cm²

d)

134.0cm²

39.

Find the area of the sector, rounding your answer to 1d.p.

a)

2.1cm²

b)

2.0cm²

c)

0.5cm²

d)

12.6cm²

40.

Name the part shown in the given circle.

a)

Segment

b)

Sector

c)

Diameter

d)

Radius

41.

What is the radius of a circle with an area of 49π?

a)

49

b)

10

c)

7

d)

14

42.

What is this the formula for?

$\pi r^2\ \times\left(\frac{\theta\degree}{360\degree}\right)$

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

43.

Work out the perimeter of the sector in $cm$ .

Give your answer correct to 1 decimal place.

You do not need to type the units.

(a)

44.

Factorise
x² + 8x

a)

(x + 2)(x + 4)

b)

(x + 8)(x + 1)

c)

x(x + 8)

d)

2x(x + 4)

45.

Factorise fully: ab + 4b

a)

a(b+4)

b)

b(a+4)

c)

ab(1+4)

d)

b(a+4b)

46.

x² - 16

a)

(x + 4) (x - 4)

b)

(x + 8) (x - 2)

c)

(x + 4)²

d)

x + 4(x - 4)

47.

Factor x²-11x+24

a)

(x-3)(x-8)

b)

(x-2)(x-12)

c)

(x+3)(x+8)

d)

(x+2)(x+12)

48.

Factorize :

a² − 14a − 51

a)

(a-17)(a+3)

b)

(a+17)(a+3)

c)

(a-17)(a-3)

49.

$factorize.\ 2\pi r^2+2\pi rh$

a)

$2\pi r^2\left(1+h\right)$

b)

$\ 2\left(\pi r^2+\pi rh\right)$

c)

$2r\left(\pi r+\pi h\right)$

d)

$2\pi r\left(r+h\right)$

50.

Solve
$2x+3y=0$
$x-3y=9$

a)

$x=2,\ y=-3$

b)

$x=3,\ y=-2$

c)

$x=-3,\ y=2$

d)

$x=-2,\ y=3$

51.

Penny buys 5 adult tickets and 3 child tickets for the theatre. The tickets cost her a total of £164. Barney buys 4 adult tickets and 4 child tickets at a total cost of £152. Find the cost of one adult ticket and one child ticket.

a)

Adult = £25

b)

Child = £17

c)

Adult = £34

d)

Child = £13

52.

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

53.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

54.

Solve by substitution:
$y=-3x+5$
$5x-4y=-3$

a)

(1, 2)

b)

(1, 1)

c)

(2, 1)

d)

(2, 2)

55.

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

a)

(3, 4)

b)

(4, 3)

c)

(4, 4)

d)

(3, 3)

56.

What was the volume of the rectangular prism?

a)

16 cm²

b)

24 cm²

c)

96 cm³

d)

40 cm³

57.

What was the volume of the triangular prism?

a)

16 cm³

b)

16 cm²

c)

32 cm³

d)

32 cm²

58.

What was the volume of the trapezoidal prism?

a)

1,152 cm³

b)

1,152 cm²

c)

2,304 cm³

d)

2,304 cm²

59.

What is the name of the shape below?

a)

Prism

b)

Pyramid

60.

What is the name of the shape above?

a)

Pyramid

b)

Prism

61.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

62.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

63.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

64.

Find the surface area

a)

60 pi

b)

188.5 m²

c)

94.2 m²

d)

881.9 m²

e)

E

65.

To 1 significant figure 80,000 people attended Manchester United's last game. What is the maximum number of people that could have actually attended the game?

a)

85,000

b)

84,900

c)

84,990

d)

84,999

66.

A number, y, is rounded to 2 significant figures.

The result is 0.46

Write down the error interval for y.

a)

0.445≤y<0.455

b)

0.455≤y<0.465

c)

0.45≤y<0.55

d)

0.5≤y<0.6

67.

Dionne has 60 golf balls.

Each of these golf balls weighs 42 grams to the nearest gram.

Work out the greatest possible total weight of all 60 golf balls.

Give your answer in kilograms.

a)

2550

b)

2520

c)

2544

d)

2490

68.

True or False:

13.7 × 10³ is written in standard form.

a)

True

b)

False

69.

What is 6.7 × 10⁴ written

as an ordinary number?

a)

67000

b)

6700

c)

670000

d)

0.00067

70.

What is 3 × 10^-2 written

as an ordinary number?

a)

300

b)

3000

c)

0.03

d)

0.3

71.

Calculate. ( 5 x 10^-3) x (4 x 10^-2)

a)

20 x 10^-5

b)

2 x 10^-6

c)

2 x 10^-4

d)

20 x 10⁶

72.

$(24\times10^3)\ \div\left(2\ \times10^9\right)$

a)

$12\ \times10^{-6}$

b)

$12\ \times\ 10^{12}$

c)

$1.2\times10^{-5}$

d)

$1.2\times10^{-7}$

73.

Write $3\times10^4+6\times10^5$ in standard form

a)

$9\times10^5$

b)

$6.3\times10^4$

c)

$3.6\times10^5$

d)

$6.3\times10^5$

3rd Form CAT 2 Revision Quiz

Total questions: 73

Worksheet time: 3hrs 50mins

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