Free Printable End of term revision

1.

the weight of a potatoes is 25 kg correct to the nearest kG /write down the smallest possible weight of the of bag /and also in largest

a)

smallest24.5/largest25.5

b)

smallest23.6/largest29.5

c)

smallest24.5/largest25.5kg

d)

kjjnejneqovmqeo

2.

find the upper and lower bounds in each case 305 (nearest 5)

a)

300≤305<310

b)

302.5≤305<307.5

3.

find the upper and lower bounds in each case 700(nearst100)

a)

600≤700<800

b)

650≤700<850

4.

What is the upper bound and lower bound of 390 grams, measured to the nearest 10 grams?

a)

395 and 385

b)

390.5 and 389.5

c)

400 and 300

d)

400 and 350

5.

A bag of flour has a mass of 1500 g (to the nearest 10 g). Find the maximum mass of 10 bags of flour.

a)

15050 g

b)

15000.5 g

c)

15000 g

d)

15050 kg

6.

A piece of A4 paper is 21.1 cm by 29.7 cm measured to the nearest 0.1cm. What are the lower and upper bounds of its area, in square centimetres, correct to 1 dp?

a)

624.1325 and 629.2125

b)

624.1 and 629.2

c)

624.13 and 629.21

d)

624 and 629

7.

A cuboid measures 2 x 11 x 9 m measured to the nearest metre.

What is the least possible volume of the cuboid?

a)

198.5

b)

382.375

c)

197.5

d)

223.125

8.

If $A\ =\ \frac{B}{C}$ what is the maximum and minimum value of A, if B is 100m correct to the nearest 5 m and C is 10 m correct to the nearest meter? $\$

a)

10.79 $cm^2$ and 9.28 $cm^2$

b)

10.78 $cm^2$ and 9.29 $cm^2$

c)

10.79 $cm^2$ and 9.29 $cm^2$

d)

10.78 $cm^2$ and 9.28 $cm^2$

9.

Work out the upper bound and lower bound for 32 cm, measured to the nearest cm

a)

32.5 and 31.5

b)

31.5 and 32.5

c)

35 and 30

d)

33 and 31

10.

The length and width of a field have been measured as 78m and 35m to the nearest metre. Find the greatest possible amount of fencing needed to surround the field

a)

27

b)

228

c)

226.5

d)

228.5

11.

Select the two brackets needed to factorise...

$x^2+7x+12$

a)

$\left(x+1\right)$

b)

$\left(x+2\right)$

c)

$\left(x+3\right)$

d)

$\left(x+4\right)$

e)

$\left(x+5\right)$

12.

Select the two brackets needed to factorise...

$x^2+9x+20$

a)

$\left(x+1\right)$

b)

$\left(x+2\right)$

c)

$\left(x+3\right)$

d)

$\left(x+4\right)$

e)

$\left(x+5\right)$

13.

Select the two brackets needed to factorise...

$x^2+13x+42$

a)

$\left(x+7\right)$

b)

$\left(x+6\right)$

c)

$\left(x+8\right)$

d)

$\left(x-6\right)$

e)

$\left(x-7\right)$

14.

Select the two brackets needed to factorise...

$x^2+15x+56$

a)

$\left(x+7\right)$

b)

$\left(x+6\right)$

c)

$\left(x+8\right)$

d)

$\left(x-6\right)$

e)

$\left(x-7\right)$

15.

Select the two brackets needed to factorise...

$x^2-13x+42$

a)

$\left(x+7\right)$

b)

$\left(x+6\right)$

c)

$\left(x+8\right)$

d)

$\left(x-6\right)$

e)

$\left(x-7\right)$

16.

Select the two brackets needed to factorise...

$x^2+x-42$

a)

$\left(x+7\right)$

b)

$\left(x+6\right)$

c)

$\left(x+8\right)$

d)

$\left(x-6\right)$

e)

$\left(x-7\right)$

17.

Select the two brackets needed to factorise...

$x^2-x-30$

a)

$\left(x+5\right)$

b)

$\left(x+3\right)$

c)

$\left(x+6\right)$

d)

$\left(x-3\right)$

e)

$\left(x-6\right)$

18.

Select the two brackets needed to factorise...

$x^2-3x-18$

a)

$\left(x+9\right)$

b)

$\left(x+3\right)$

c)

$\left(x+6\right)$

d)

$\left(x-3\right)$

e)

$\left(x-6\right)$

19.

Select the two brackets needed to factorise...

$x^2+3x-18$

a)

$\left(x+9\right)$

b)

$\left(x+3\right)$

c)

$\left(x+6\right)$

d)

$\left(x-3\right)$

e)

$\left(x-6\right)$

20.

Select the two brackets needed to factorise...

$x^2+11x+30$

a)

$\left(x+5\right)$

b)

$\left(x+3\right)$

c)

$\left(x+6\right)$

d)

$\left(x-5\right)$

e)

$\left(x-6\right)$

21.

Select the two brackets needed to factorise...

$x^2+x-20$

a)

$\left(x-2\right)$

b)

$\left(x+4\right)$

c)

$\left(x+5\right)$

d)

$\left(x+10\right)$

e)

$\left(x-4\right)$

22.

Select the two brackets needed to factorise...

$x^2+8x-20$

a)

$\left(x-2\right)$

b)

$\left(x+4\right)$

c)

$\left(x+5\right)$

d)

$\left(x+10\right)$

e)

$\left(x-4\right)$

23.

Select the two brackets needed to factorise...

$x^2+3x-10$

a)

$\left(x-2\right)$

b)

$\left(x+4\right)$

c)

$\left(x+5\right)$

d)

$\left(x+10\right)$

e)

$\left(x-4\right)$

24.

Select the two brackets needed to factorise...

$x^2-25$

a)

$\left(x-5\right)$

b)

$\left(x+1\right)$

c)

$\left(x+5\right)$

d)

$\left(x-25\right)$

e)

$\left(x-1\right)$

25.

Select the two brackets needed to factorise...

$x^2-4$

a)

$\left(x-4\right)$

b)

$\left(x+2\right)$

c)

$\left(x+4\right)$

d)

$\left(x-2\right)$

e)

$\left(x-1\right)$

26.

Simplify the algebraic fraction.

a)

-3/b

b)

-b/3

c)

3b

d)

-3b

27.

Simplify the algebraic fraction.

a)

2pq

b)

2/pq

c)

pq/2

d)

p/2q

28.

Simplify the algebraic fraction.

a)

-m

b)

-1/m

c)

m/n

d)

1/mn

29.

a)

10a/10b

b)

10a/5b

c)

2a/b

d)

a/b

30.

a)

a/2

b)

3a/6

c)

8a/6

d)

7a/6

31.

a)

8m²/8n²

b)

13m/4n

c)

13m²/4n²

d)

8m/8n

32.

a)

4/p

b)

5/p

c)

14/p²

d)

4/p²

33.

a)

a²/6

b)

2a/3a

c)

3a/2a

d)

3/2

34.

a)

6am/10a

b)

9

c)

9ma/3a

d)

6m

35.

a)

2by/c

b)

4xb/ac

c)

2xb/ac

d)

ac/dc

36.

a)

3c

b)

9b/4a

c)

4a

d)

2c/b

37.

Simplify the following.

$\frac{6t}{5}\div\frac{3}{4t}$

a)

$\frac{8t^2}{5}$

b)

$\frac{18t}{20t}$

c)

$\frac{9t}{10t}$

d)

$\frac{10t}{8}$

38.

Simplify the following.

$\frac{15}{5\left(3-a\right)}$

a)

$\frac{3}{3-a\ }$

b)

$3-a$

c)

$\frac{3-a}{3}$

d)

$\frac{3}{a-3}$

39.

Simplify the following.

$\frac{\left(x+2\right)\left(x+3\right)}{2\left(x+2\right)^2}$

a)

$\frac{\left(x+3\right)}{2\left(x+2\right)^2}$

b)

$\frac{x+3}{\left(x+2\right)}$

c)

$\frac{x+3}{2}$

d)

$\frac{x+3}{2\left(x+2\right)}$

40.

Simplify the following.

$\frac{5q}{7}\div\frac{9q}{8}$

a)

$\frac{40}{63}$

b)

$\frac{14q}{15}$

c)

$\frac{103q}{56}$

d)

$\frac{45q}{56}$

41.

Simplify the following.

$\frac{5}{9e}\div\frac{8}{3e}$

a)

$\frac{87e}{27e^2}$

b)

$\frac{13}{12e}$

c)

$\frac{40}{27e^2}$

d)

$\frac{5}{24}$

42.

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

a)

⁴⁷/₉₀

b)

⁵²/99

c)

⁴⁷/99

d)

⁵²/₉₀

43.

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

a)

²⁴/₅₅

b)

⁴⁸/₁₁₀

c)

⁴³²/₉₉₀

d)

¹⁴⁴/₃₃₀

44.

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

a)

¹⁷/₄₅

b)

³⁴/₉₀

c)

³⁷/₉₉

d)

³⁷/₉₀

45.

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

a)

²/₄₅

b)

⁴/₉₀

c)

⁴/₉₉

d)

²/₉₀

46.

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

a)

⁴¹/₁₆₅

b)

⁸²/₃₃₀

c)

²⁴⁶/₉₉₀

d)

²⁴⁸/₉₉₉

47.

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

a)

¹⁹¹/₉₀₀

b)

²¹²/₉₀₀

c)

²¹²/₉₉₀

d)

²¹²/₉₉₉

48.

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

a)

⁷³/₂₂₅

b)

³²⁴/₉₀₀

c)

²⁹²/₉₀₀

d)

¹⁴⁶/₄₅₀

49.

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

a)

⁸⁹/₁₀₀

b)

⁸⁰¹/₉₀₀

c)

⁸⁸⁹/₉₀₀

d)

⁸⁸⁹/₉₉₀

50.

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

a)

¹³⁸⁷/₃₀₀₀

b)

⁴⁶²³/₉₀₀₀

c)

⁴¹⁶¹/₉₀₀₀

d)

¹³⁸⁷/₉₀₀₀

51.

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

a)

²⁸/₇₅

b)

¹⁶⁸/₄₅₀

c)

³³⁶/₉₀₀

d)

⁵⁶/₁₅₀

52.

what are the values of c and d?

a)

c = 218, d = 71

b)

d = 109, c = 71

c)

c = 142, d = 218

d)

c = 142, d = 109

53.

What are the sizes of a and b?

a)

a = 57, b = 114

b)

a = 57, b = 57

c)

a = 114, b = 57

d)

a = 57, b = 28.5

54.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

55.

Find the value of the angle marked x....

a)

90

b)

45

c)

50

d)

100

56.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

57.

Find the value of the angle marked x....

a)

63

b)

126

c)

54

d)

90

58.

find the measure of angle a

a)

30

b)

21

c)

60

d)

120

59.

What is the size of angle x?

a)

19^o

b)

76^o

c)

39^o

d)

38^o

60.

What is the value of x and y?

a)

x=75°; y=93°

b)

x=65°;y=104°

c)

x=75°; y=94°

d)

x=65°; y=93

61.

What is the measure of angle c and d?

a)

c = 21, d = 50

b)

c = 63, d = 78

c)

c = 78, d = 63

d)

c = 10, d = 50

62.

Determine y.

a)

30

b)

60

c)

90

d)

180

63.

Determine x.

a)

32

b)

16

c)

64

d)

21

End of term revision

Total questions: 63

Worksheet time: 5hrs 15mins

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