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Worksheets

11aMa6

Total questions: 233

Worksheet time: 10hrs 9mins

Name
Class
Date
1.

What is 1/5 as a fraction

a)

1.5%

b)

5%

c)

15%

d)

20%

2.

What is 0.9 as a percentage

a)

0.009%

b)

0.09%

c)

9%

d)

90%

3.

There are 20 students, 12 are boys what fraction are boys ?

a)

2/3

b)

2/5

c)

3/5

d)

3/4

4.

Simplify 7x +5-8-3x

a)

X

b)

4x+3

c)

4x-3

d)

10x-3

5.

What is 24

a)

6

b)

8

c)

16

d)

24

6.

Which is not a multiple of 6?

a)

24

b)

76

c)

108

d)

144

7.

Which is not a multiple of 6?

a)

24

b)

76

c)

108

d)

144

8.

Which symbol makes this statement correct ?

0.062 ____ 0.52

a)

=

b)

<

c)

>

9.

solve x-7=56

a)

x=8

b)

x=49

c)

x=56

d)

x=63

10.

Which of these can be written as 2y2

a)

(2y)2

b)

2x2xy

c)

2xyxy

d)

2x2xyxy

11.

Which of these has the greatest value?

a)

6.15x104

b)

61499

c)

6.2x103

d)

61.6x103

12.

Simplify 3x + 6x + x

a)

19x

b)

10x

c)

3x

d)

9x

13.

Simplify x + x + x + x + x

a)

x5x^5

b)

5x5x

c)

1

d)

x+5x+5

14.

Simplify 4x + 3y - x + 5y

a)

3x - 2y

b)

5x + 8y

c)

11xy

d)

3x + 8y

15.

Solve


2x - 1 = 17

a)

x = 18

b)

x = 32

c)

x = 8

d)

x = 9

16.

Solve


3x = 15

a)

x = 45

b)

x = 3

c)

x = 5

d)

x = 18

17.

Solve

  x4=12\frac{x}{4}=12  

a)

x = 16

b)

x = 48

c)

x = 4

d)

x = 3

18.

Solve


5x + 3 = 3x + 9

a)

x = 3

b)

x = 4

c)

x = 6

d)

x = -1

19.

Solve


x - 8 = 13

a)

x = 5

b)

x = 7

c)

x = 21

d)

x = 15

20.

Expand 2(x + 3)

a)

2x + 5

b)

2x + 23

c)

2x + 6

d)

2x + 3

21.

Expand x(x + 3)

a)

x2+3x^2+3

b)

x2+3xx^2+3x

c)

2x+32x+3

d)

x2+x3x^2+x^3

22.

Expand 5(3x - 7)

a)

15x - 35

b)

15x - 2

c)

8x - 35

d)

8x - 2

23.

Expand and simplify


2(x + 4) + 3(x - 1)

a)

0

b)

5x + 3

c)

10x

d)

5x + 5

24.

Expand and simplify


3(x + 7) - 2(x + 5)

a)

5x + 11

b)

x + 11

c)

5x + 31

d)

x + 31

25.

What is the coefficient of the x-term?

3x2+7x23x^2+7x-2  

a)

-2

b)

2

c)

3

d)

7

26.

Substitute x = 3 into the expression


5x - 6

a)

47

b)

15

c)

9

d)

12

27.


4x  7 = 84x\ -\ 7\ =\ 8  

Is an example of

a)

an expression

b)

an equation

c)

an identity

d)

a formula

28.

4x74x-7  

is an example of

a)

an expression

b)

an equation

c)

an identity

d)

a formula

29.

4(n+1)4n+44\left(n+1\right)\equiv4n+4  

is an example of

a)

an expression

b)

an equation

c)

an identity

d)

a formula

30.

A=h2(a+b)A=\frac{h}{2}\left(a+b\right)  

is an example of

a)

an expression

b)

an equation

c)

an identity

d)

a formula

31.

Simplify

x×x×xx\times x\times x  

a)

3

b)

x+3x+3  

c)

3x3x  

d)

x3x^3  

32.

Work out 12×5\frac{1}{2}\times5  

a)

510\frac{5}{10}  

b)

2 122\ \frac{1}{2}  

c)

110\frac{1}{10}  

d)

2 152\ \frac{1}{5}  

33.

What is 5 less than -2

a)

-10

b)

-7

c)

-3

d)

3

34.

Simplify

3×a×3×a3\times a\times3\times a  

a)

9a9a  

b)

6a26a^2  

c)

9a29a^2  

d)

6a6a  

35.

Work out 20% of £14 000

a)

£1400

b)

£2800

c)

£1420

d)

£700

36.

What is 58\frac{5}{8}  as a decimal ?

a)

0.125

b)

0.58

c)

0.75

d)

0.625

37.

Solve


5x = 10

a)

x = 2

b)

x = 0.5

c)

x = 50

d)

x = 15

38.

Work out 13+(5)13+\left(-5\right)  

a)

18

b)

8

c)

-

d)

-18

39.

Work out 5(2)5-\left(-2\right)  

a)

7

b)

-7

c)

3

d)

-3

40.

Work out 101+(2)101+\left(-2\right)  

a)

99

b)

103

c)

-99

d)

-103

41.

Work out 7.48 ×27.48\ \times2  

a)

14.86

b)

14.96

c)

9.48

d)

14.48

42.

Which average tells you the most common value?

a)

Mean

b)

Median

c)

Mode

d)

Range

43.

Which average tells you the middle value?

a)

Mean

b)

Median

c)

Mode

d)

Range

44.

How many factors does 12 have ?

a)

2

b)

4

c)

6

d)

8

45.

How many factors does 20 have ?

a)

2

b)

4

c)

6

d)

8

46.

How many factors does 16 have?

a)

3

b)

4

c)

5

d)

6

47.

What is 350×13350\times13  ?

a)

4550

b)

3550

c)

4050

d)

3050

48.

Work out 55% of £400

a)

£200

b)

£240

c)

£220

d)

£205

49.

A cuboid has side length 3cm, width 2cm and height 4cm.
Work out the volume.

a)

24cm324cm^3  

b)

324cm3324cm^3  

c)

9cm39cm^3  

d)

16cm316cm^3  

50.

A cuboid has side length 5cm, width 2cm and height 6cm.

Work out the volume.

a)

60cm360cm^3

b)

13cm313cm^3

c)

48cm348cm^3

d)

56cm356cm^3

51.

Simplify fully 48 : 36

a)

4 : 3

b)

24 : 18

c)

3 : 4

d)

8 : 3

52.

Simplify fully 24 : 30

a)

12 : 15

b)

6 : 7

c)

4 : 5

d)

2 : 3

53.

Share £240 in the ratio 2 : 8

a)

£48 and £192

b)

£120 and £ £120

c)

£56 and £184

d)

£64 and £176

54.

Multiply out and simplify

(x + 3)(x - 1)

a)

x2+2x3x^2+2x-3

b)

x23x^2-3

c)

x2+2x2x^2+2x-2

d)

x2+2x+3x^2+2x+3

55.

Multiply out and simplify


(x - 2)(x + 5)

a)

x2+3x10x^2+3x-10

b)

x2+3x7x^2+3x-7

c)

x210x^2-10

d)

x23x10x^2-3x-10

56.

Work out (3)+(8)\left(-3\right)+\left(-8\right)  

a)

-5

b)

5

c)

-11

d)

11

57.

What does the longest bar in a bar chart represent?

a)

mean

b)

median

c)

mode

d)

range

58.

Work out 1.10.151.1-0.15  

a)

0.95

b)

1.05

c)

0.85

d)

1.085

59.

On a circle, which of these is always longer than the diameter?

a)

chord

b)

arc

c)

radius

d)

circumference

60.

Work out 4+3×514+3\times5-1  

a)

16

b)

18

c)

28

d)

34

61.

The nth term of a sequence is 5n - 2


Work out the 3rd term.

a)

51

b)

5

c)

123

d)

13

62.

Write 180 minutes in hours


1mark

4 lines
63.

Write 0.73 as a percentage


1mark

4 lines
64.

Work out


10×(3 + 5)


1mark

4 lines
65.

Write down a prime number that is between 20 and 30


1mark

4 lines
66.

Find the number that is exactly halfway between 7 and 15


1mark

4 lines
67.

Harry is planning a holiday for 4 people for 7 days.

Here are the costs for the holiday for each person.


Travel £150

Hotel £50 for each day per person

Spending money £250


Work out the total cost of the holiday for 4 people for 7 days.


4marks - please show steps of working

4 lines
68.

Ruth left her home at 9 am and walked to the library. She got to the library at 10 30 am. Ruth walked at a speed of 4 mph.

Work out the distance Ruth walked.


2marks - please show working

4 lines
69.

Ruth got to the library at 10 30 am. She stayed at the library for 50 minutes.

Then she walked home.

Ruth took 1.5 hours to walk home. At what time did Ruth get home?


2marks - please show working

4 lines
70.

(a) Expand 5(2m – 3)


(b) Factorise 3n + 12


2marks

4 lines
71.

Wasim has a rectangular garden path that is 600cm by 120cm.


Wasim is going to cover the path with paving stones.

Each paving stone is a square of side 30 cm. Each paving stone costs £2.50.

Wasim has £220 to spend on paving stones.

Does he have enough money to buy all the paving stones he needs?


4marks - please show working

4 lines
72.

There are 40 students in a class.

Each student walks to school or cycles to school or gets the bus to school.

There are 22 girls in the class.

9 of the girls walk to school.

7 of the boys cycle to school.

6 of the 10 students who get the bus to school are boys.


Find the number of these students who walk to school


4marks - please show working if possible

4 lines
73.

Deon needs 50 g of sugar to make 15 biscuits.

She also needs three times as much flour as sugar two times as much butter as sugar Deon is going to make 60 biscuits.


(a) Work out the amount of flour she needs

3marks


Deon has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250 g packs.

(b) How many packs of butter does Deon need to buy?

2marks

4 lines
74.

Find the highest common factor (HCF) of 72 and 90


2marks - please show working

4 lines
75.

A shop sells packs of black pens, packs of red pens and packs of green pens.


There are 2 pens in each pack of black pens

5 pens in each pack of red pens

6 pens in each pack of green pens


On Monday, the number of packs of black pens sold to the number of packs of red pens sold to the number of packs of green pens sold was 7 : 3 : 4


A total of 212 pens were sold. Work out the number of green pens sold.


4marks - please show all working

4 lines
76.

Work out
312×1353\frac{1}{2}\times1\frac{3}{5}  
Give your answer as a mixed number in its simplest form

3marks - please show working out

4 lines
77.

Which of these is the formula for the area of a circle?

a)

A = πr2A\ =\ \pi r^2

b)

A=2πrA=2\pi r

c)

A=πdA=\pi d

d)

A=12πd2A=\frac{1}{2}\pi d^2

78.

The formula


Area = base x perpendicular height


gives the area of a ....

a)

trapezium

b)

kite

c)

triangle

d)

parallelogram

79.

Which of these is Pythagoras' Theorem?

a)

a2=(b+c)2a^2=\left(b+c\right)^2

b)

a2+b2=c2a^2+b^2=c^2

c)

a=b+ca=b+c

d)

a2=bc2a^2=bc^2

80.

Select the formula used to calculate the area (A) of this triangle.

a)

A=b×hA=b\times h

b)

A=12×b×lA=\frac{1}{2}\times b\times l

c)

A=12×b×hA=\frac{1}{2}\times b\times h

d)

A=b×lA=b\times l

81.

Identify the curve labelled y

a)

Arc

b)

Circumference

c)

Radius

d)

Diameter

82.

Identify the line labelled x.

a)

Radius

b)

Diameter

c)

Tangent

d)

Circumference

83.

Identify the line labelled z.

a)

Tangent

b)

Arc

c)

Diameter

d)

Radius

84.

In a circle of radius r, diameter d, & circumference C, select the formula used to calculate its circumference.

a)

C=π(r+d)C=\pi\left(r+d\right)

b)

C=πrC=\pi r

c)

C=πr2C=\pi r^2

d)

C=πdC=\pi d

e)

C=πd2C=\pi d^2

85.

In this triangle, the capital letters represent angles. The lower case letters represent sides. Identify the hypotenuse.

a)

y

b)

z

c)

x

d)

Z (capital)

86.

Select the correct ratio for tangent (tan).

a)

OppositeHypotenuse\frac{Opposite}{Hypotenuse}

b)

AdjacentHypotenuse\frac{Adjacent}{Hypotenuse}

c)

OppositeAdjacent\frac{Opposite}{Adjacent}

d)

HypotenuseOpposite\frac{Hypotenuse}{Opposite}

e)

HypotenuseAdjacent\frac{Hypotenuse}{Adjacent}

87.

Select the correct ratio for cosine (cos).

a)

OppositeHypotenuse\frac{Opposite}{Hypotenuse}

b)

AdjacentHypotenuse\frac{Adjacent}{Hypotenuse}

c)

OppositeAdjacent\frac{Opposite}{Adjacent}

d)

HypotenuseOpposite\frac{Hypotenuse}{Opposite}

e)

HypotenuseAdjacent\frac{Hypotenuse}{Adjacent}

88.

Select the correct ratio for sine (sin).

a)

OppositeHypotenuse\frac{Opposite}{Hypotenuse}

b)

AdjacentHypotenuse\frac{Adjacent}{Hypotenuse}

c)

OppositeAdjacent\frac{Opposite}{Adjacent}

d)

HypotenuseOpposite\frac{Hypotenuse}{Opposite}

e)

HypotenuseAdjacent\frac{Hypotenuse}{Adjacent}

89.

Select the formula used to calculate the volume (V) of this prism.

a)

V=Cross Section ×lV=Cross\ Section\ \times l^{ }

b)

V=Cross Section ×l2V=Cross\ Section\ \times l^2

c)

V=Cross Section ×l3V=Cross\ Section\ \times l^3

d)

V=(Cross Section +l)3V=\left(Cross\ Section\ +l\right)^3

90.

Select the correct formula linking pressure(p), force(f), & area(a).

a)

p=f×ap=f\times a

b)

p=a×fp=a\times f

c)

p=fap=\frac{f}{a}

d)

p=afp=\frac{a}{f}

91.

Select the correct formula linking density(d), mass(m), & volume(v).

a)

d=v×md=v\times m

b)

d=vmd=\frac{v}{m}

c)

d=m×vd=m\times v

d)

d=mvd=\frac{m}{v}

92.

Select the correct formula linking speed(s), distance(d), & time(t).

.

a)

s=dts=\frac{d}{t}  

b)

s=tds=\frac{t}{d}  

c)

s=tds=td  

d)

s=dts=dt  

93.

The formula for the area of a trapezium is:

a)

A = 12bhA\ =\ \frac{1}{2}bh

b)

A = 32(ab)hA\ =\ \frac{3}{2}\left(a-b\right)h

c)

A = a+b2×hA\ =\ \frac{a+b}{2}\times h

d)

A=12πr2A=\frac{1}{2}\pi r^2

94.

Change 7800 g to kg

a)

7.8 kg

b)

78 kg

c)

780 kg

d)

0.78 kg

95.

Write 0.013 as a fraction

a)

13/10

b)

13/100

c)

13/1000

d)

13/10000

96.

Write 7.8365 correct to 2 decimal places.

a)

7.8

b)

7.83

c)

7.84

d)

78

97.

How many vertices does a cuboid have?

(a)  

98.

Write down all the numbers in set A.

a)

2 3 6 7 8

b)

3 8

c)

0 3 5 8 9

d)

2 6 7

99.

Write down the coordinates of point A.

a)

(2, 4)

b)

(4, 2)

c)

(-2, 4)

d)

(4, -2)

100.

Here are some patterns made from squares.

a) Find the numbers of squares used for pattern 4 and 5

b) Find the number of squares used for pattern 10

a)

a) 17, 21

b) 37

b)

a) 17, 21

b) 41

c)

a) 16, 20

b) 40

d)

a) 21, 25

b) 41

101.

Which calculation gives the biggest answer?

a)

Sum of 14 and 19

b)

Difference between 57 and 29

c)

Product of 9 and 4

102.

A, B, C and D are points on a straight line.

AD = 20 cm and AB = 8.6 cm

BC = CD

Work out the length of BC.

a)

11.4

b)

22.8

c)

5.7

d)

4.3

103.

The spinner is spun once.

Which number is the spinner least likely to land on?

a)

2

b)

3

c)

5

104.

What is the probability that the spinner will land on the 3?

a)

3/6

b)

2/3

c)

3/5

d)

1/3

105.

There are some blue, red and green counters in a bag.


There are twice as many blue in the bag as red counters.

There are 3 times as many red as green counters in the bag.


For the counters in the bag, write down the ratio of

the number of blue counters to the numbers of red counters to the number of green counters.

a)

6 : 3 : 1

b)

1 : 3 : 6

c)

3 : 2 : 1

d)

1 : 2 : 3

106.

Tom wants to buy the 25 plants as cheaply as possible.


How much cheaper is the one option than the other?

(a)  

107.

Dylan is driving from London to Newcastle.

He will drive a total distance of 240 miles.


Dylan leaves London at 09:30

It takes him 1.5 hours to travel the first 90 miles.


Use this information to estimate the time Dylan will arrive in Newcastle.



(a)  

108.

Describe fully the single transformation that maps shape P onto shape Q.

a)

Reflection

b)

Rotation

c)

Translation

d)

y = 2

e)

90 C/W

109.

The diagram shows the cross-section of a solid prism.

The length of the prism is 2 m.

The prism is made from metal density of 8 grams per cm3.

Work out the mass of the prism.

a)

24 cm2

48 cm3

384g

b)

24 cm2

480 cm3

3840 g

c)

28 cm2

5600 cm3

44800 g

d)

24cm2

4800 cm3

38400 g

110.

There are 18 packets of sweets and 12 boxes of sweets in a carton.


The mean number of sweets in all the 30 packets and boxes is 14.

The mean number of sweets in the 18 packets is 10.


Work out the mean number of sweets in the boxes.

a)

30 containers x 14 = 420

18 packets x 10 = 180

12 boxes for 600 = 50 per box

b)

30 containers x 14 = 420

18 packets x 10 = 280

12 boxes for 700 = 58.3 per box

c)

30 containers x 14 = 420

18 packets x 10 = 180

12 boxes for 240 = 20 per box

111.

Jason collected some information about the heights of 19 plants.

This information is shown in the stem and leaf diagram.

Find the median.

a)

0 mm

b)

3 mm

c)

29 mm

d)

30 mm

112.

Barbara has a tube of sweets.

There are 5 sweets in the tube.

There is one sweet of each of these colours in the tube.


red blue green yellow pink


Barbara takes two sweets at random from the tube.

How many combinations are there?

(a)  

113.

Ali takes his car to a garage.

The car has a 5000 mile service.

It also has an MOT test.

What is Ali's bill?

(a)  

114.

Ali bought his car for £20 000


The car depreciated by 20% the first year.

The car depreciated by 10% the second year.


Work out the value of the car at the end of the second year.

(a)  

115.

ABC is a straight line.

Angle BCD = 38°

The reflex angle BCD = 250°

Work out the size of the angle marked x.

(a)  

116.

A water container has 19.5 litres of water in it.

A cup holds 210 ml of water.


At most 92 cups can be filled completely from the water container.

a)

19.5 litres = 19500 ml

b)

19500 / 210 = 92.85

c)

19500 / 210 = 93 rounded

d)

92 x 210 = 19320 ml

117.

A square has sides 8.4 cm.

What is the length of the diagonal of the square correct to 3 sig figs.

(a)  

118.

The diagram shows a circular pond with a path around it.

The pond has a radius of 5m. The path has a width of 1m.

Work out the area of the path.

Give your answer correct to 3 significant figures. (m squared)

(a)  

119.

Write 40 673 to the nearest thousand.

a)

40 670

b)

40 000

c)

41 000

d)

1000

120.

Change 8 kilometres into metres

a)

8000m

b)

800m

c)

8m

d)

0.8m

121.

Write the following numbers in order of size. Start with the smallest number.

0.5 0.577 0.507 0.57 0.05

a)

0.5 0.05 0.507 0.57 0.577

b)

0.5 0.05 0.57 0.507 0.577

c)

0.577 0.57 0.507 0.5 0.05

d)

0.05 0.5 0.507 0.57 0.577

122.

Write 150 minutes in hours and minutes.

a)

15 hours

b)

1 hour 50 mins

c)

2 hours 30 mins

d)

2 hours 10 mins

123.

Sam has a fair spinner.

Sam is going to spin the arrow on the spinner once. From the list below, choose the word that best describes the likelihood that the arrow

will land on 3

a)

impossible

b)

unlikely

c)

evens

d)

likely

e)

certain

124.

Sam has a fair spinner.

Sam is going to spin the arrow on the spinner once. From the list below, choose the word that best describes the likelihood that the arrow

will land on 7

a)

impossible

b)

unlikely

c)

evens

d)

likely

e)

certain

125.

This notice is inside a bus

Maximum number of passengers

Sitting = 62 Standing = 18


On the bus 54 passengers are sitting

and 7 passengers are standing.

The bus stops at a bus stop. No-one gets off the bus.

17 people want to get on the bus. Can all 17 people get on the bus?

a)

62 + 54 = 116. Lots of room on the bus,

b)

54 + 17 = 71 so no, too many people on the bus.

c)

62+180 = 90 54+7 = 61 90-61 = 29 so yes,

d)

8 sitting spaces and 11 standing spaces = 19 spaces available so yes, they can get on the bus.

126.

What was the difference in temperature between Monday and Wednesday?

a)

3

b)

2

c)

1

d)

4

127.

What was the median temperature? (In degrees celsius)

a)

4

b)

Wednesday

c)

Tuesday

d)

10

128.

Which is larger,

310   or 25%\frac{3}{10}\ \ \ or\ 25\%  

a)

3/10 = 0.03  so   25% is larger

b)

3/10 = 0.3   so  25% is larger

c)

3/10 = 0.3 = 0.30 = 30% so  30% is larger

d)

3/10 = 3%  so 3/10 is larger.

129.

What are the coordinates of the point B?

a)

(1,2)

b)

(2,1)

c)

1,2

d)

2,1

130.

What are the coordinates of the midpoint between A and B

a)

(1,0)

b)

(2,0)

c)

(1.5,1)

d)

(1.5,0)

131.

What are the coordinates of the point D that would make a parallelogram ABCD?

a)

(0,-2)

b)

(-1,-3)

c)

(-1,-2)

d)

(-3,0)

132.

Use the conversion chart to change 11 ounces to grams.

a)

310g

b)

280g

c)

1g

d)

300g

133.

Use the conversion chart to estimate what 700g would be in ounces

a)

2.5 ounces

b)

20 ounces

c)

20 000 ounces

d)

25 ounces

134.

Solve 4y - 7 = 29

a)

18

b)

9

c)

5.5

d)

11

135.

Find the size of the angle marked y.

a)

55o

b)

25o

c)

210

d)

65

136.

Work out

45×13\frac{4}{5}\times\frac{1}{3}  

a)

4/20

b)

5/8

c)

17/15

d)

4/15

137.

Work out

38+15\frac{3}{8}+\frac{1}{5}  

a)

3/40

b)

4/13

c)

23/40

d)

16/40

138.

Kate is y years old

Lethna is 3 times as old as Kate

Mike is 4 years older than Lethna


Write down an expression , in terms of x, for Mike's age.

a)

3(y+4)

b)

3y+4

c)

3y+12

d)

3y - 4

139.

Write the ratio 150:450 in the form 1:n   where n is a whole number.

a)

3:1

b)

1:3

c)

15:45

d)

1:9

140.

Laura is going to buy a coat in a shop with a store card that takes 45% off the normal price.


The normal price of the coat is £90.

How much does she pay?

a)

£45

b)

£40.50

c)

£49.50

d)

£50.50

141.

Expand and simplify


2(m-3) + 3(m+4)

a)

5m+6

b)

5m+1

c)

2m - 3 + 3m + 4

d)

2m - 6 + 3m + 12

142.

Describe the relationship between the value of a car and the age of the car.

a)

Negative

b)

As the car gets older, the value of the car decreases.

c)

Positive

d)

As the car gets older, the value of the car increases.

143.

If you had to draw a line of best fit on the graph it would be......

a)

A curved line through all points

b)

A straight line through the middle of most points going downwards

c)

A straight line from (0,0) to the middle point like (4,700)

d)

A straight line through the middle of most points going upwards

144.

There are 270 students in Year 7

Each student studies one of French or German or Spanish.

Of these 270 students 2/9 study French

the number who study French : the number who study Spanish = 3 : 7

42 boys study German

Of the students who study German, what percentage are boys?

a)

60%

b)

40%

c)

42

d)

70

145.

Write 247 000 in standard form

a)

247 x 103

b)

24.7 x 104

c)

2.47 x 10 3

d)

2.47 x 105

146.

Write 6.5 x 10-4 as an ordinary number

a)

650000

b)

65000

c)

0.0065

d)

0.00065

147.

work out (3 x 10-7) x (8 x 10-6)

a)

24 x 10-13

b)

2.4 x 10-12

c)

2.4 x 10-14

d)

24 x 10-1

148.

6 boys have a mean age of 10 years

14 girls have a mean age of 5 years


Work out the mean age of all 20 children.

a)

13 years

b)

130 years

c)

7.5 years

d)

6.5 years

149.

Write 17 653 correct to the nearest 1000

a)

20 000

b)

17 000

c)

18 000

d)

10 000

150.

Write 0.019 as a fraction.

a)

19/100

b)

19/1000

c)

19%

d)

100/19

151.

The probability that it will rain tomorrow is 0.65

What is the probability that it will not rain tomorrow?

a)

0.65

b)

1

c)

0.35

d)

0.45

152.

Here is a list of numbers.

2 4 5 6 7 8


Which number is a multiple of 8?

a)

8

b)

2

c)

4

d)

none of them

153.

Here is a list of numbers.


2 4 5 6 7 8


Which numbers are a factor of 8?

a)

8

b)

all of them

c)

2 and 4

d)

2 ,4 and 8

154.

A television programme started at 17 55

The programme was 1 hour 20 minutes long.

At what time did the programme end?

a)

18:05

b)

19:05

c)

18:15

d)

19:15

155.

Rumana is going to take some children on a picnic.

She needs 26 cartons of orange juice.

Rumana buys all the cartons she needs for the least possible amount of money. How much did she spend?

a)

£7.96

b)

9.88

c)

£8.10

d)

£7.58

156.

Simplify fully

4d2 – 6d2 + 5d2

a)

3d2

b)

3d6

c)

-3d2

d)

-3d6

157.

Solve 6x – 5 = 16

a)

7/3

b)

3.5

c)

1.83

d)

11/6

158.

Buckets A, B and C are the same size. Bucket A is 2/3 full.

Bucket B is 3/4 full. Bucket C is 5/6 full.


Is there enough rainwater in bucket C to pour into bucket A and B to fill them completely?

You must show all your working.

a)

No, not enough

b)

yes, 10/12 is enough to fill up 8/12 and 9/12

c)

yes, 1/6 is enough for 1/4 and 1/3

d)

no, 5/6 does not fill up as 8/12+9/12 = 17/12

159.

Work out the value of x.

a)

302

b)

98

c)

78

d)

58

160.

Work out the size of the angle marked x.

Give reasons for your answer.

a)

50 QCD = 54 alternate 54 + 76 = 130 ACP = 50 PAC = 180 - 90 - 50 = 40

b)

50o BAP = 76 corresponding, 180 - 76 - 54 = 50 PAC = 50

c)

40o QCD = 54 corresponding 54 + 76 = 130 ACP = 50 PAC = 180 - 90 - 50 = 40

d)

56o 180 - 54- 90

161.

Complete the table of values for

y = x2 – 4x – 2

a)

-2 3 -2 -5 -6

b)

-10 -7 -2 -5 -6

c)

10 3 -2 -5 -6

d)

2 1 -2 -5 -6

162.

Work out the area shaded. Use the pi button on your calculator.

Give your answer correct to 1 decimal place.

a)

39.3

b)

78.5

c)

157.1

d)

117.8

163.

Work out the mean score from the table.

a)

32.4

b)

2

c)

8

d)

8.1

164.

Calculate the length of y, give your answer to 1d.p.

a)

2.9

b)

5.8

c)

8.7

d)

10

e)

Can't be done

165.

Calculate the length of x, give your answer to 1d.p.

a)

2.9

b)

5.8

c)

8.7

d)

10

e)

Can't be done

166.

Solve x + 2y = 3

x y = 6

a)

x = 10 y = -4

b)

x = -3 y = 3

c)

x = 5 y = -1

d)

x = 0 y = -3

167.

Work out the length of BC.

Give your answer correct to 3 significant figures.

a)

6.708

b)

10.8

c)

6.7

d)

10.817

168.

Write down the value of 50

a)

5

b)

0

c)

1

d)

can't be done

169.

2x = 0.5 What is the value of x?

a)

-1

b)

1

c)

0.5

d)

2

170.

The height, H cm, of a table is measured as 72 cm correct to the nearest centimetre.

Complete the following statement to show the range of possible values of H.


.................... ≤ H < ....................

a)

71 73

b)

70 80

c)

71.5 72.4

d)

71.5 72.5

171.

Simplify 2a2b × 3a3b

a)

6a6b2

b)

2a63b2

c)

5a5b2

d)

6a5b2

172.

The perimeters of these two shapes are the same.

All measurements are in centimetres.

Work out the value of x.

a)

3.5

b)

10/11

c)

18x-6

d)

2.5

173.

Sam invests £5000 at 2.8% per annum compound interest for 4 years.

Work out the value of Sam’s investment at the end of 4 years.

a)

10600

b)

5560

c)

5583.96

d)

13421.77

174.

In a sale, normal prices are reduced by 12%.

The sale price of a digital camera is £132.88

Work out the normal price of the digital camera.

a)

£148.83

b)

£116.93

c)

£118.64

d)

£151

175.

What is 257.483 rounded to 2 significant figures?

a)

257.48

b)

257

c)

250

d)

260

176.

Simplify 2a - 3b + 4a - 5b

a)

6a + 8b

b)

6a - 8b

c)

6a8b

d)

8a - 6b

177.

Which expression means 'four more than n'

a)

4n

b)

n + 4

c)

n > 4

d)

4 > n

178.

What is the nth term of this arithmetic sequence : 5, 13, 21, 29...

a)

8n - 3

b)

8n + 3

c)

3n - 8

d)

3n +8

179.

What is the area of this triangle?

a)

17cm2

b)

20cm2

c)

30cm2

d)

60cm2

180.

What is the length of the hypotenuse?

a)

17 cm

b)

12.1 cm

c)

12.8 cm

d)

13 cm

181.

Which maths word means 'identical' when comparing shapes?

a)

similar

b)

equilateral

c)

congruent

d)

invariant

182.

What is the combined area of the two rectangles?

a)

60 cm2

b)

120 cm2

c)

30 cm2

d)

48 cm2

183.
What is the perimeter of a square that has length 5cm?
a)
25cm2
b)
25cm
c)
20cm
d)
20
184.

1 mark

a)

3(y + 2)

b)

3(y + 6)

c)

2(y + 3)

d)

6(y + 1)

185.

1 mark

a)

x2 - 3x

b)

x2 - 3

c)

x2 - x

d)

2x - 3x

186.

3 marks

a)

x = 9.25

b)

x = 20.5

c)

x = 11.25

d)

x = 10.25

187.

4 marks

a)

7.92

b)

79.2

c)

10

d)

7.2

188.

2 marks

a)

10a5b4

b)

7a5b4

c)

10a5b3

d)

7a5b3

189.

3 marks

a)

y = 5p2 - x

b)

y = (5p - x)2

c)

y = 5(p - x)2

d)

y = (5p)2 - x

190.

1 ≤ 2y – 3 < 9 where y is an integer.

Write down all the possible values of y

a)

2,3,4,5

b)

1,2,3,4

c)

3,4,5,6

d)

1,2,3,4,5,6,7,8

191.

A number x is truncated to 2 decimal places. The result is 9.58

Write down the error interval for x

a)

9.56<x9.589.56<x\le9.58

b)

9.58x<9.599.58\le x<9.59

c)

9.57x9.599.57\le x\le9.59

d)

9.58<x<9.599.58<x<9.59

192.

Bradley gets the bus on Saturday and Sunday. The probability that Bradley’s bus will be late on any day is 0.2

Work out the probability that Bradley’s bus is late on at least one of these days.

a)

0.2

b)

0.14

c)

0.25

d)

0.36

193.

Calculate the length AB

a)

12cm

b)

10.5cm

c)

11.1cm

d)

12.2cm

194.

Write in standard form

3500

a)

3.5×1033.5\times10^3

b)

35×10135\times10^1

c)

3.5×1023.5\times10^2

195.

Joanne buys a car for £5000 and sells it for £2400. What is the percentage loss?

a)

48%

b)

52%

c)

108%

d)

8%

196.

I buy a watch in a sale at 35% off the regular price. In the sale the watch costs £78. How much did it cost before?

a)

£120

b)

£105.30

c)

£110

d)

£50.70

197.

In a bag of red and green counters, the ratio of red to green is 2 : 7. If there are 14 red counters, how many green are there?

a)

4

b)

49

c)

53

d)

56

198.

John and Linda share some money in the ratio 8 : 3. If John gets £45 more than Linda, how much does John get?

a)

£72

b)

£27

c)

£99

d)

£32.72

199.

Find 23% of 185

a)

42.55

b)

142.45

c)

227.55

d)

43.75

200.

35×3432\frac{3^5\times3^4}{3^2}  

Simplify

a)

3103^{10}  

b)

34.53^{4.5}  

c)

373^7  

d)

171^7  

201.

1 mark

a)

19.44

b)

1.944

c)

1944

d)

0.1944

202.

2 marks

a)

0.1

b)

0.9

c)

0.4

d)

0.2

203.

4 marks

a)

40o

b)

70o

c)

60o

d)

50o

204.

2 marks

a)

3y + 6 + 4x - 4

b)

3y + 4x + 2

c)

7xy + 2

d)

3y + 4x + 1

205.

3 marks

a)

38.25 cm

76.5 cm

51 cm

b)

68 cm

34 cm

51 cm

c)

68 cm

17 cm

34 cm

d)

51 cm

34 cm

17 cm

206.

2 marks

a)

28.3 cm

b)

14.1 cm

c)

254.5 cm

d)

63.6 cm

207.

2 marks

a)
b)
c)
d)
208.

1 mark

a)

p6

b)

p5

c)

p32

d)

p1.5

209.

1 mark

a)

t4

b)

t5

c)

t-5

d)

t11

210.

1 mark

a)

6

b)

3

c)

2

d)

5

211.

2 marks

a)

x = 4

b)

x = 8

c)

x = 2.5

d)

x = 64

212.

2 marks

a)

-4, -3, -2, -1, 0

b)

-5, -4, -3, -2, -1, 0

c)

-4, -3, -2, -1

d)

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

213.
What number does this tally mark show?
a)
100
b)
50
c)
100
d)
150
214.

How many cm in one metre?

a)

1

b)

10

c)

100

d)

1000

215.

How many metres in one kilometre

a)

1

b)

10

c)

100

d)

1000

216.

How many mm in one cm?

a)

1

b)

10

c)

100

d)

1000

217.

How many minutes in 1.5 hours?

a)

90

b)

110

c)

150

d)

120

218.

What is the value of x when 2x + 4 = 13

a)

4

b)

4.5

c)

5

d)

5.5

219.

Find 0.3 as a fraction in its simplest form

a)

13\frac{1}{3}  

b)

30100\frac{30}{100}  

c)

23\frac{2}{3}  

d)

310\frac{3}{10}  

220.

What is the value of -5 -7

a)

12

b)

2

c)

-2

d)

-12

221.

Odd x odd will always give....

a)

An odd number

b)

An even number

c)

Depends on the numbers

222.

Find the value of 434^3  

a)

12

b)

16

c)

64

d)

128

223.

Change 8.4kg into grams

a)

840g

b)

8.4g

c)

8400g

d)

84g

224.

Solve y2=10\frac{y}{2}=10  

a)

20

b)

5

c)

2.5

d)

40

225.

Janice drives for 4 hours at an average speed of 35mph. How far does Janice drive?

a)

60 miles

b)

70 miles

c)

100 miles

d)

140 miles

226.

Solve 3x=173x=17  

a)

x=5x=5  

b)

x=173x=\frac{17}{3}  

c)

x=317x=\frac{3}{17}  

d)

x=523x=5\frac{2}{3}  

227.

Expand:

(x+2)(x+3)\left(x+2\right)\left(x+3\right)  

a)

2x+3x2x+3x  

b)

x2+6x+5x^2+6x+5  

c)

  x2+6x^2+6  

d)

x2+5x+6x^2+5x+6  

228.

What is the median of the numbers 2, 2, 3, 9 ?

a)

7

b)

4

c)

2.5

d)

2

229.

What is the reciprocal of 5?

a)

5

b)

0.5

c)

-5

d)

1/5

230.

Work out 50

a)

0

b)

1

c)

5

d)

-5

231.

Wayne wants to buy a dishwasher. The dishwasher costs £375. He pays a £75 deposit and the remaining balance is paid over 6 instalments. How much is each instalments?

a)

£40

b)

£50

c)

£60

d)

£70

232.

Which river is the longest?

a)

Trent

b)

Don

c)

Severn

d)

Thames

e)

Mersey

233.

Which river is the shortest?

a)

Trent

b)

Don

c)

Severn

d)

Thames

e)

Mersey