Free Printable Y10 Review

1.

Estimate the answer to:

403.8 ÷ 21.51

a)

8000

b)

200

c)

20

d)

2

2.

What is 78.5 rounded to one significant figure?

a)

79

b)

78.5

c)

70

d)

80

3.

Find the n^th term of the following sequence...

5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

4.

What are the next two terms in the sequence.

12, 17, 22, 27

a)

28 and 33

b)

30 and 35

c)

29 and 34

d)

32 and 37

5.

Express $\frac{9}{20}$ as a a percentage.

(a)

6.

What number is 20% of 35?

a)

7

b)

5

c)

10.5

d)

.07

7.

Increase £350 by 12%...

a)

£392

b)

£308

c)

£42

d)

£408

8.

Decrease £2200 by 8%...

a)

£2024

b)

£1980

c)

£2002

d)

£2376

9.

Find the percentage change in the following price increase:

£650 to £728

a)

12%

b)

88%

c)

18%

d)

82%

10.

Find the percentage change in the following price reduction:

£650 to £338

a)

48%

b)

52%

c)

42%

d)

58%

11.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

12.

Evaluate x.

a)

35

b)

20

c)

8

d)

12

13.

Use Pythagoras' Theorem to find c in this triangle:

a)

5.29

b)

10

c)

28

d)

100

14.

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

15.

How much mince is needed to serve 15...

a)

1kg

b)

1.5kg

c)

2kg

d)

2.5kg

16.

If 15 men can do a work in 12 days, how many men will do the same work in 6 days?

a)

30

b)

25

c)

15

d)

8

17.

3 lb = ? oz

a)

40

b)

37

c)

27

d)

48

18.

Find ⁵/₈ of £40

a)

£25

b)

£20

c)

£24

d)

£26

19.

Find the missing side

a)

5 m

b)

7 m

c)

9 m

d)

11 m

20.

Are the following similar?
Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, corresponding sides are NOT in proportion.

d)

i dont know

21.

Find the value of the missing number...

a)

21

b)

18

c)

14

d)

28

22.

Marty made two types of cookies. He used 2/3 cup of sugar for one recipe and 1/4 cup of sugar for the other. How much sugar did he use in all?

a)

5/12

b)

3/7

c)

11/12

d)

1/3

23.

4/5 + 3/8 Make sure to simplify!

a)

32/40

b)

1 7/40

c)

2 5/7

d)

1 1/2

24.

3/5 - 5/10 Make sure to simplify!

a)

1/10

b)

8/5

c)

1/5

d)

8/0

25.

The scatter graph shows the relationship between the age of a car and its value.

Describe the correlation shown on the diagram

a)

Positive

b)

Negative

c)

No Correlation

26.

The scatter graph shows the relationship between the age of a car and its value.

Another car is worth £2500. Estimate the age of this car.

a)

5 years

b)

2 years

c)

8 years

d)

4 years

27.

Which figure will this net make?

a)

Cube

b)

Hexagonal Pyramid

c)

Octagonal Pyramid

d)

Cone

28.

How many lines of symmetry does this shape have?

a)

0

b)

1

c)

2

d)

4

29.

Find the plan view for the solid shown...

a)

b)

c)

d)

30.

Find the front elevation for the solid shown...

a)

b)

c)

d)

31.

Find the side elevation for the solid shown...

a)

b)

c)

d)

32.

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

33.

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

34.

Hei-Hei has £1500 in a retirement account earning 5% interest compounded annually. After 5 years how much does Hei-Hei have in the account?

a)

£1750

b)

£2010.14

c)

£2500

d)

£1914.42

35.

Dan borrowed £2,000 for 6 months at 12% annual simple interest rate. How much interest is that?

a)

£120

b)

£144

c)

£1,200

d)

£1,440

36.

The pie chart shows the colours of 32 beads. How many green beads are there?

a)

90

b)

8

c)

11

d)

9

37.

The pie chart shows colours of motorbikes in a shop. There are 20 more blue bikes than white. How many bikes are there altogether?

a)

54

b)

160

c)

40

d)

80

38.

Multiply

a)

5 / 9

b)

3/10

c)

5 / 20

d)

23 / 20

39.

a)

8 ¹/35

b)

8 ¹²/35

c)

9

d)

8 ⁴/₁₅

40.

a)

6

b)

4 ⁴/₇

c)

⁵⁷/₉

d)

5 ¹/₂

41.

Divide these fractions

a)

2 / 1

b)

8 / 2

c)

1

d)

8 / 36

42.

The scale of a map says that 6 cm represents 15 km.

What distance on the map represents an actual distance of 6 kilometers?

a)

3.6

b)

2.5

c)

2.4

d)

.42

43.

9m = ____cm

a)

90 cm

b)

900 cm

c)

9,000 cm

d)

0.9 cm

44.

7 km = ____cm

a)

70

b)

700

c)

700,000

d)

70,000

45.

4 cm = ___mm

a)

400

b)

40

c)

4

d)

4,000

46.

Jack has a rock. The rock has a mass of 14g and a volume of 2cm³. What is the density of the rock?

a)

7 mL

b)

7 g/cm³

c)

28 g/cm³

d)

1/7 g/cm³

47.

How long would it take a bus traveling at 50 km/h to travel 125 km?

a)

6,250 hours

b)

2.5 km

c)

2.5 hours

d)

6,250 km

48.

This conversion graph can be used to change between metres and feet.

Use the conversion graph to change 6 metres to feet.

a)

22 feet

b)

16 feet

c)

20 feet

d)

18 feet

49.

What is the speed of segment D?

a)

0.5 m/s

b)

2 m/s

c)

3 m/s

d)

0 m/s

50.

What is the motion of segment C?

a)

Moving towards observer constant speed

b)

Moving away from observer constant speed

c)

Moving towards observer changing speed

d)

Not moving

51.

(x + 12)(x - 12)

a)

x² - 144

b)

x² + 144

c)

x² + 12x - 144

d)

x² - 12x + 144

52.

(x + 5)²

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

53.

(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

54.

Which construction is shown here?

a)

Perpendicular bisector

b)

Angle bisector

c)

ASA triangle

d)

SAS triangle

55.

Which construction is shown here?

a)

Perpendicular bisector

b)

Angle bisector

c)

Line bisector

d)

Perpendicular

56.

Which picture shows the locus of all points more than 3cm from A?

a)

b)

c)

d)

57.

Identify the correct description from the loci diagram...

a)

Closer to BC than AD and within 6m from D

b)

Closer to AD than BC and within 6m from D

c)

Closer to BC than AD and within 6m from A

d)

Closer to AD than BC and within 6m from A

58.

Y varies directly as x. If y = 12 when x = 15, what is y when x = 20?

a)

4/5

b)

17

c)

16

d)

25

59.

Upon seeing, "y varies directly as x" we immediately.....

a)

write down what x and y are

b)

write down what k is equal to

c)

substitute into the equation

d)

write y = kx

60.

8x - 19 < 13

a)

x < 4

b)

x < -4

c)

x = 4

d)

x < -3/4

61.

Which compound inequality is graphed above?

a)

-2 < x ≤ 2

b)

-2 > x ≤ 2

c)

-2 < x < 2

d)

-2 ≥ x < 2

62.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

63.

The table shows incomplete info about customers' orders in a cafe. How many women visited the cafe in total?

a)

37

b)

15

c)

22

d)

12

64.

Rearrange to make y the subject
$4y+c=w$

a)

$y=\frac{w+c}{4}$

b)

$y=4\left(c+w\right)$

c)

$y=\frac{w-c}{4}$

d)

$y=4\left(w-c\right)$

65.

I left my house at 9:02 a.m. to shop at the mall. I got home at 3:41 p.m. How long was I out?

a)

6 hours and 41 minutes

b)

6 hours and 39 minutes

c)

5 hours and 43 minutes

d)

6 hours

66.

Find the value of one angle measurein a pentagon

a)

108

b)

60

c)

120

d)

135

67.

What is the sum of the exterior angles of a decagon

a)

1440

b)

360

c)

540

d)

720

68.

Find the sum of interior angles in a heptagon

a)

900

b)

720

c)

540

d)

180

69.

Find the gradient of the line.

a)

-2

b)

2

c)

-1

d)

1

70.

Simplify: w²⁴ ÷ w⁸

a)

w¹⁶

b)

w³

c)

w³²

d)

w^24/8

71.

$\left(2^4\right)^3=$

a)

$8^3$

b)

$2^7$

c)

$2^{12}$

d)

$8^{12}$

72.

$2^{-3}=$

a)

$-8$

b)

$-6$

c)

$\frac{1}{8}$

d)

$2^{\frac{1}{3}}$

73.

Simplify: b¹⁷ x b⁵

a)

b²²

b)

b⁸⁵

c)

(b²)²²

d)

b¹²

74.

Simplify: f⁰

a)

1

b)

f

c)

f¹

d)

0

75.

Identify the polygon.

a)

Triangle

b)

Quadrilateral

c)

Rectangle

d)

Pentagon

Y10 Review

Total questions: 75

Worksheet time: 3hrs 52mins

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