PAPER 20

PAPER 20A

 

QUESTION 1 [1 mark]

Calculate 7.651+1.1027.651+1.102

 

Answer type: Simple text answer

ANSWER: 8.753

 

QUESTION 2 [1 mark]

What is 5760057600 seconds equivalent to in hours ?

 

Simple text answer

ANSWER: 16 hours

WORKING:

57600÷60÷60=1657600\div60\div60=16 hours

QUESTION 3 [1 mark]

Work out 53−14\dfrac{5}{3}-\dfrac{1}{4}

 

Answer type: Fraction

ANSWER: 1712\dfrac{17}{12}

WORKING:

53−14=(53×44)−(14×33)=2012−312=1712\dfrac{5}{3}-\dfrac{1}{4}=(\dfrac{5}{3}\times\dfrac{4}{4})-(\dfrac{1}{4}\times\dfrac{3}{3})=\dfrac{20}{12}-\dfrac{3}{12}=\dfrac{17}{12}

QUESTION 4 [1 mark]

What 3D shape can be created with the 2D net shown?

 

Answer type: Multiple choice type 1

A: Cylinder

B: Frustum

C: Cone

D: Sphere

 

ANSWER: A

 

QUESTION 5 [1 mark]

Work out 252%252\% of 125125

 

Answer type: Simple text answer

ANSWER: 315

WORKING:

125×2.52=315125\times2.52=315

QUESTION 6 [1 mark]

In school of 600600 pupils, 64%64\% walk to school regularly.

How many pupils walk to school regularly?

 

Answer type: Simple text answer

ANSWER: 384

WORKING:

600×0.64=384600\times0.64=384

QUESTION 7 [1 mark]

If the ratio of x:yx:y is 6:116:11, and x=27x = 27, what is the value of yy ?

 

Answer type: Simple text answer

ANSWER: 49.5

WORKING:

27÷6=4.527\div6=4.5

4.5×11=49.54.5\times11=49.5

QUESTION 8 [1 mark]

What is 545^4 ?

 

Answer type: Simple text answer

ANSWER: 625

 

QUESTION 9 [1 mark]

Anna has 128128 trees in her garden. 1616 of the trees are apple trees.

What percentage of the trees in the garden are apple trees?

 

Answer type: Simple text answer

ANSWER: 12.5 %\%

WORKING:

16128=18=12.5%\dfrac{16}{128}=\dfrac{1}{8}=12.5\%

QUESTION 10 [1 mark]

The price of a new printer is £120£120 plus VAT. VAT is charged at a rate of 17.5%17.5\%

What is the total price of the printer?

 

Answer type: Simple text answer

ANSWER: £141

WORKING;

120+(120×0.175)=£141120+(120\times0.175)=£141

QUESTION 11 [1 mark]

If the probability of passing a driving test is 0.570.57,

what is the probability of failing it?

 

Answer type: Simple text answer

ANSWER: 0.43

WORKING:

1−0.57=0.431-0.57=0.43

QUESTION 12 [1 mark]

Choose the plan of the 3D shape shown.

 

Answer type: Multiple choice type 1

A:  B:  C: 

 

ANSWER: A

 

QUESTION 13 [1 mark]

What 3D shape can be created with this net?

 

Answer type: Multiple choice type 1

A: Cube

B: Frustum

C: Square-based pyramid

D: Square

 

ANSWER: A

 

QUESTION 14 [1 mark]

Calculate the following: 45.5×5.545.5\times 5.5

 

Answer type: Simple text answer

ANSWER: 250.25

 

QUESTION 15 [1 mark]

Work out 5×(2+1)+45 \times (2 + 1) + 4

 

Simple text answer

ANSWER: 19

WORKING:

5×(2+1)+4=5×3+4=15+4=195 \times (2 + 1) + 4= 5\times3+4=15+4=19

 

PAPER 20B

 

QUESTION 1 [2 marks]

The probability that a football team will win their next game is 211\dfrac{2}{11}.

The probability they will lose is 411\dfrac{4}{11}.

What is the probability the game will be a draw?

Give your answer as a fraction.

 

Answer type: Fraction

ANSWER: 511\dfrac{5}{11}

WORKING:

1−211−411=5111 - \dfrac{2}{11} - \dfrac{4}{11} = \dfrac{5}{11}

 

QUESTION 2 [2 marks]

If a student spends 4545 minutes on homework on 44 evenings a week and a further 2525 minutes on 22 mornings, how much time does the student spend on homework each week? Give your answer in hours and minutes.

 

Answer type: Multiple choice type 1

A: 33 hours and 5050 minutes

B: 33 hours and 4040 minutes

C: 33 hours and 2525 minutes

D: 44 hours and 1515 minutes

 

ANSWER: A

WORKING:

(45×4)+25×2)=180+50=230(45\times4)+25\times2)=180+50=230 minutes = 33 hours and 5050 minutes

QUESTION 3 [2 marks]

A sprinter runs a distance of 200200 metres in 2525 seconds.

Work out the average speed of the sprinter.

 

Answer type: Simple text answer

ANSWER: 8 m/s

WORKING:

Speed = DistanceTime=20025=8 m/s\dfrac{\text{Distance}}{\text{Time}}=\dfrac{200}{25}=8\text{ m/s}

QUESTION 4 [1 mark]

What is the mathematical name of shape D?

 

Answer type: Multiple choice type 1

A: Square-based pyramid

B: Cylinder

C: Cone

D: Cuboid

 

ANSWER: A

 

QUESTION 5 [2 marks]

£61.20£61.20 is shared equally between 99 people. How much does each person receive?

 

Answer type: Simple text answer

ANSWER: £6.80

 

QUESTION 6 [3 marks]

Elisa makes breakfast cereal.

She mixes nuts, raisins and oats in the ratio 3:1:53 : 1 : 5 by weight.

She measures out 4545 g of nuts.

Work out the amount of oats, in g, she will use.

 

Answer type: Simple text answer

ANSWER: 75 g

WORKING:

453×5=75\dfrac{45}{3} \times 5 = 75 g

 

QUESTION 7 [5 marks]

The triangle ABCABC is an isosceles triangle.

Work out the value of angle xx

 

Answer type: Simple text answer

ANSWER: x=x= 45 °\degree

WORKING:

As triangle ABCABC is an isosceles triangle, the two angles ∠ABC\angle ABC and ∠BAC\angle BAC are equal.

∠ABC=180−702=55°\angle ABC = \dfrac{180 - 70}{2}=55\degree

x=180−80−55=45°x= 180 - 80 - 55 = 45\degree

 

QUESTION 8 [4 marks]

There is enough space for 130130 boxes in a stockroom.

On Monday there are 7575 boxes in the stockroom.

On Tuesday 1919 boxes are taken out of the stockroom.

On Wednesday 5959 boxes are put into the stockroom.

Work out how many more boxes can now be put into the stockroom.

 

Answer type: Simple text answer

ANSWER: 15

WORKING:

75−19+59=11575-19+59 = 115

130−115=15130 - 115 = 15 boxes

 

QUESTION 9 [6 marks]

The volume, VV, of the prism is given by V=Area of cross-section×LengthV = \text{Area of cross-section} \times \text{Length}

Work out the volume of the prism shown.

 

Simple text answer

ANSWER: 380 cm3^3

WORKING:

Area of cross-section = (7×4)+(2×5)=38 cm2(7\times4)+(2\times5)=38 \text{ cm}^2

V=38×10=380 cm3V = 38 \times 10 = 380\text{ cm}^3

QUESTION 10 [3 marks]

In a drawer there are,

66 blue pairs of socks, 99 yellow pairs of socks, 44 black pairs of socks and 55 white pairs of socks.

A pair of socks is taken from the drawer at random.

What is the probability that the pair of socks chosen is blue or black?

Give your answer as a fraction.

 

Answer type: Fraction

ANSWER: 512\dfrac{5}{12}

WORKING:

Total socks = 6+9+4+5=246+9+4+5=24

P(Blue or Black) = 1024=512\dfrac{10}{24}=\dfrac{5}{12}

 

QUESTION 11 [2 marks]

Beth goes on holiday to Italy.

The exchange rate is £1=€1.15£1 = €1.15

She changes £350£350 into Euros (€)(€).

Work out how many Euros she receives.

 

Answer type: Simple text answer

ANSWER: €402.50

WORKING:

350×1.15=€402.50350 \times 1.15 = €402.50

 

QUESTION 12 [3 marks]

A school chef is buying fruit to stock up the school canteen.

In pounds, how much does it cost the chef in total to buy the fruit he needs?

Give your answer in pounds.

 

Answer type: Simple text answer

ANSWER: £18.55

WORKING:

(15×£0.41)+(20×£0.32)+(6×£0.28)+(18×£0.24)=£18.55(15\times£0.41)+(20\times£0.32)+(6\times£0.28)+(18\times£0.24)=£18.55

QUESTION 13 [4 marks]

A part of the cuboid has been removed leaving the shape shown.

Calculate the area of the front face ABCDEABCDE, of the 3D shape.

 

Answer type: Simple text answer

ANSWER: 22 cm2^2

WORKING:

Area of front face =(4×4)+(3×2)=22= (4\times 4) + (3\times 2) = 22 cm2^2

 

QUESTION 14 [3 marks]

You are given that π=3.14\pi = 3.14

Find the area of the circle.

Give your answer to the nearest whole number.

 

Answer type: Simple text answer

ANSWER: 201 cm2^2

WORKING:

The area of a circle is given by the formula, Area =πr2 = \pi r^2

As the radius is 88 cm then,

Area =3.14×82=201 = 3.14 \times8^2=201 cm2^2 (nearest whole number)

 

QUESTION 15 [3 marks]

Rose has 33 footballs, 55 rugby balls and 77 tennis balls.

Write the number of footballs as a fraction of the total number of balls Rose has.

Give your answer in its simplest form.

 

Answer type: Fraction

ANSWER: 15\dfrac{1}{5}

WORKING:

Total number of balls = 3+5+7=153+5+7=15

315=15\dfrac{3}{15} = \dfrac{1}{5}