Year 5 answers - 24/6, 25/6 and 27/6

First name

Current school

Entrance Examination 2016

Arithmetic Section B

1 Hour

Do not open this booklet until told to do so

Calculators

may not be used

Write your names, school and candidate number in the spaces provided at the top of this page.

For each question, show all your working in full, as this will be marked, and then write your answer clearly in the space provided.

You have 1 hour for this paper which is worth 80 marks.

Marker Short Longer Problems Problems Q1 - 6 Q7 - 11

Score out of

1. Complete this bill for a small shopping trip, filling in the five missing quantities and amounts in the spaces provided

........... biscuits at 45p each 3.60

........... eggs which cost £1.60 for twelve 0.80

........... grams of butter at £2.50 per Kg 1.50

........... litres of milk costing 90p per litre ...........

[5 marks]

2. (a) Martin was born on 13th August 2000. How many birthdays did he have between 1st August 2001 and 1st September 2015?

(b) Paul was born on 10th November 2002. How many birthdays did he have between 20th November 2005 and 1st November 2015?

(c) Andy was born on 29th February 2004, which was a leap year. How many true birthdays could he celebrate between 1st January 2005 and 31st December 2015?

[4 marks]

3. A group of children are cutting squares off one corner of rectangular sheets of paper, as shown in the diagram.

(a) Ahmed's sheet of paper is 8 cm by 7 cm. He cuts out a square with sides of length 5 cm. What area of paper is remaining when he has cut out his square?

(b) Bella's sheet of paper is 11 cm by 12 cm. After her square is cut out, the area of paper she is left with is 68 cm2 What is the length of each side of the square she cuts out?

(c) Chris has an area of 23 cm2 of paper left when he cuts a square with sides of 7 cm from his sheet of paper. If his rectangular sheet of paper is 8 cm wide, how long is it?

4. Sixty pupils each voted for their favourite game app. The pie chart below shows how they voted

(a) What fraction of the class voted for Minecraft?

(b) One quarter of the pupils voted for Despicable Me.

What angle in the pie chart represents Despicable Me?

drawn to scale)

(c) How many pupils voted for Angry Birds?

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4. Worksheet No. 3

1) 1 3 2 X 4 2

3) Three alarms start ri 5, 10, and 15 minutes they will ring togethe

4) A cube has a side of 1 the volume of the cub

WEEK 43 DAY 1 2)tart ringing together at 6:00 am. If t inutes respectively each time, find th de cm. Find he cube.

This worksheet must not be photocop action.

Year 5 ocopied or reproduced. Those who violate copyright

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5) The average of 5 15. Of this, the right terms may face legal m. they ring after find the next time ge numbers is is, the average of 4

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1) 9 4 3 1 5 + 4 2 9 4 6

WEEK 43 DAY 2

A library has books of dif subjects as shown in the p Story Novel Fictions Poems Science One symbol represe books.

2) different pictograph epresents 20

4) If the number of scie books is increased by what will be the total

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This worksheet must not be photocop action.

5 ocopied or reproduced. Those who violate copyright

3) How many books other than scien science sed 50%, e total number

5) Which book is th number? right terms may face legal books are there n science books? ok the minimum

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1)55 x 14

WEEK 43 DAY 3

3) A Large pizza costs £

4)

5 friends together bu share the cost equally

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This worksheet must not be photocop action.

Year 5 ocopied or reproduced. Those who violate copyright

nds + 6 tens + 0 ones

3.25 and a small pizza costs £ ther buy 2 large pizzas and 1 small piz equally, how much does each person p right terms may face legal 1.75. all pizza. If they rson pay?

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1)2,145 X 8

WEEK 43 DAY 4

5)

3) A football ground is 7 long and 45 meters w out the area of the gr

2) 53 - 82 nd is 75 meters ters wide. Work ground.

4) In each box, cir number.

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This worksheet must not be photocop action.

Year 5 ocopied or reproduced. Those who violate copyright

right terms may face legal ox, circle the smaller

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Answer Key

1) Find the circumference of the circle: (Take π = 22/7)

a) Radius = 21cm

b) Radius = 3.5cm

2) Find the area of the following circles, given that:

a) Radius = 14cm

b) Diameter= 56cm

c) Diameter= 70cm

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Answer : __________

d) Radius = 35cm

Answer : __________

This worksheet must not be photocopied or reproduced. Those who violate copyright terms may face legal action.

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e) Radius = 5cm

Answer : __________

3) If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take = 22 )

Answer : __________

4) A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs £4 per meter. (Take π = 22/7)

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Answer : __________

5) From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take π = 3.14)

Answer : __________

6) Amelia wants to put a lace on the edge of a circular table cover of diameter 2m. Find the length of the lace required and also find its cost if one meter of the lace costs £1.5. (Take �� = 3.14)

Answer : __________

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