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Worksheets

General maths otti and ben

Total questions: 30

Worksheet time: 22mins

Name
Class
Date
1.

what is the area of the rectangle?

a)

3

b)

60

c)

20

d)

6

2.
a)

38

b)

40

c)

4

d)

52

3.

Find the perimeter of this sector.

a)

10.75

b)

18.75

c)

43.00

d)

26.75

4.

Work out the lower bound for

Declan's average speed to 3.s.f.

a)

7.42857 m/s

b)

7.84 m/s

c)

7.43 m/s

d)

7.8393881 m/s

5.

a)

40

b)

41

c)

12

d)

30

6.

Fully simplifed

a)

√64

b)

√34

c)

8

d)

3√512

7.

Find angle Y

a)

57

b)

Y

c)

78

d)

45

8.

Calculate the probability that the two discs removed are different colours

a)

1/25

b)

18/25

c)

0.71

d)

79%

9.

a)

5.85

b)

6

c)

3.15

d)

2.7

10.

Water is poured into a glass for 6 seconds. The graph shows the depth of the water in the glass. What is the rate of change of the depth of the water? Give your answer in cm/s.

a)

2m/s

b)

7.34cm/s

c)

3cm/s

d)

2cm/s

11.

What is the height of the rectangle?

a)

-3

b)

43

c)

3

d)

19

12.

Order the numbers from smallest to largest

a)

1/4, 0.21%, 0.205, 1/5

b)

0.205, 1/5, 0.21%, 1/4

c)

1/5, 0.205, 0.21%, 1/4

d)

0.21%, 1/4, 0.205, 1/5

13.

What is the cube root of 4913?

a)

16

b)

17

c)

18

d)

19

14.

a)

5121000\frac{512}{1000}

b)

507990\frac{507}{990}

c)

64125\frac{64}{125}

d)

169330\frac{169}{330}

15.

a)

W = -17.57 L = -34.14

b)

X = L = -17.57

c)

X = 17.07

d)

W = 17.07 L = 35.14

16.

What is the area of the cuboid in m³?

a)

180000 m³

b)

0.18 m³

c)

1800 m³

d)

1.8 m³

17.

Calculate the surface area

of this hemisphere

a)

339.292 cm2339.292\ cm^2

b)

678.584 cm2678.584\ cm^2

c)

452.39 cm2452.39\ cm^2

d)

904.78 cm2904.78\ cm^2

18.

Compound interest

a)

£2600

b)

£2598

c)

£2662

d)

£3192

19.

How many different "meal deals"

can be bought?

a)

675

b)

1296

c)

30

d)

810

20.

a)

121π

b)

22π

c)

11π

d)

484π

21.

Give your answer fully simplified

a)

474\sqrt{7}

b)

18\sqrt{18}

c)

6

d)

323\sqrt{2}

22.

Work out the length of the longer shape

a)

59 cm

b)

31.5 cm

c)

40.5 cm

d)

48.5 cm

23.
a)

5 hours 36 min

b)

4 hours 23 min

c)

5 hours 21 min

d)

4 hours 38 min

24.

Simplify (2m⁴)³

a)

8m¹²

b)

2m¹²

c)

8m⁷

d)

2m⁷

25.

Calculate the are of the triangle to 3 s.f.

a)

72.889 cm272.889\ cm^2

b)

90.0 cm290.0\ cm^2

c)

90.1283 cm290.1283\ cm^2

d)

72.9 cm272.9\ cm^2

26.
a)

(5y + 4) (y + 5)

b)

(5y - 5) (y - 4)

c)

(5y + 5) (y - 4)

d)

(5y - 4) (y + 5)

27.

a)

13\frac{1}{-3}

b)

13-\frac{1}{3}

c)

5W24\frac{5W}{24}

d)

5W24-\frac{5W}{24}

28.

Find the sequence in terms of n

a)

n2 + 3n + 2n^2\ +\ 3n\ +\ 2

b)

2n2 + 3n + 22n^2\ +\ 3n\ +\ 2

c)

n2 + 2n + 3n^2\ +\ 2n\ +\ 3

d)

2n2 + 2n + 32n^2\ +\ 2n\ +\ 3

29.
a)

2 X 2 X 3 X 5 X 5

b)

22 X 3 X 522^2\ X\ 3\ X\ 5^2

c)

2 X 33 X 522\ X\ 3^{3\ }X\ 5^2

d)

2 X 3 X 3 X 3 X 5 X 5

30.

a)

4y26 = 10\frac{4y^2}{6}\ =\ 10

b)

4y28 = 11\frac{4y^2}{8}\ =\ 11

c)

4y23 = 12\frac{4y^2}{3}\ =\ 12