lara chooses a number less than 20 she divides it by 2 and ... · there are 20 big cats in the zoo...

Lara chooses a number less than 20

She divides it by 2 and then adds 6

She then divides this result by 3

Her answer is 4.5

What was the number she started with?

2 marks

1

of 20Nelson St Paul's CE Primary School

A toy shop orders 11 boxes of marbles.

Each box contains 6 bags of marbles.

Each bag contains 45 marbles.

How many marbles does the shop order in total?

2 marks

2

A box contains 2.6 kg of washing powder.

Jack uses 65 grams of powder for each wash.

He uses all the powder.

3


How many washes did Jack do?

2 marks


This thermometer shows temperatures in both °C and °F.

Work out what 25°C is in °F.

2 marks

4


Olivia buys three packets of nuts.

She pays with a £2 coin.

This is her change.

What is the cost of one packet of nuts?

2 marks

5


Amina posts three large letters.

The postage costs the same for each letter.

She pays with a £ 20 note.

Her change is £14.96

What is the cost of posting one letter?

2 marks

6

A theme park sells tickets online.

Each ticket costs £24

There is a £3 charge for buying tickets.

Which of these shows how to calculate the total cost, in pounds?

Tick one.

number of tickets × 3 + 24


number of tickets + 3 × 24


1 mark

7


Dev thinks of a whole number.

He multiplies it by 4

He rounds his answer to the nearest 10

The result is 50

Write all the possible numbers that Dev could have started with.

________________________________________________2 marks

8

In March, Ken collects 2, 3 or 4 eggs each day from his hens.

In the first 20 days, Ken collects 57 eggs altogether.

There are 31 days in March.

What is the greatest number of eggs Ken can collect in March?

2 marks

9


William wants to travel to Paris by train.

He needs to arrive in Paris by 5:30 pm.

Circle the latest time that William can leave London.

Leaves London Arrives Paris

12:01 15:22

12:25 15:56

13:31 16:53

14:01 17:26

14:31 17:53

15:31 18:53

16:01 19:20

10

1 mark

This table shows the areas of the United Kingdom and Jamaica.

CountryArea

(square kilometres)

United Kingdom 240,000

Jamaica 10,000

The area of the United Kingdom is larger than the area of Jamaica.

How many times larger is the United Kingdom?

1 mark

11


Write the three missing digits to make this addition correct.

2 marks

12

This chart shows the number of different types of big cat in a zoo.

There are 20 big cats in the zoo altogether.

13

Here are some statements about the chart.

Tick the statements that are true.

There are more cheetahs than jaguars.

The total number of lions and tigers is 10

One-quarter of the big cats are cheetahs.

There are more than 5 jaguars.

2 marks


Circle the prime number.

95 89 87

Explain how you know the other numbers are not prime.

1 mark

14


On the grid there are three points joined by two lines.

Lara plots another point on the grid at (−1, 2).

She joins the points to make a quadrilateral.

Complete Lara’s quadrilateral on the grid.Use a ruler.

1 mark

15

Then Lara translates the quadrilateral 4 squares to the right.

Draw the quadrilateral in its new position on the grid.1 mark


Jack has £400

He spends 35% of his money on a new bike.

How much does Jack spend on his new bike?

1 mark

16

Here are the temperatures in four cities at midnight and at midday.

Temperature

City At midnight At midday

Paris −4°C −2°C

Oslo −13°C −7°C

Rome 3°C 10°C

Warsaw −6°C 2°C

17

At midnight, how many degrees colder was Paris than Rome?

1 mark

Which city was 6 degrees colder at midnight than at midday?

________________________1 mark


Write these numbers in order of size, starting with the smallest.

1.9 0.96 1.253 0.328

smallest

1 mark

18


Mark schemes

Award TWO marks for the correct answer of 15.

If the answer is incorrect, award ONE mark for evidence of an appropriate method, e.g.

• 4.5 × 3 = 13.513.5 – 6 = 7.57.5 × 2

Answer need not be obtained for the award of ONE mark.

Misreads are not allowed.Up to 2m

[2]

1

Award TWO marks for the correct answer of 2,970.

If the answer is incorrect, award ONE mark for evidence of an appropriate method with no morethan one arithmetic error, e.g.

• 11 × 6 = 66

66 × 45

Do not accept sight of a correct multiplication only,e.g. 11 × 6 × 45, for ONE mark.

Misreads are not allowed.Up to 2m

[2]

2

Award TWO marks for the correct answer of 40

If the answer is incorrect, award ONE mark for evidence of appropriate method, e.g.

• 2.6 × 1,000 = 2,6002,600 ÷ 65 =

• 2.6 ÷ 0.065 =Answer need not be obtained for the award of ONE mark.

Do not accept an incorrect conversion or no conversion of units,e.g.

• 260 ÷ 65 =• 2.6 kg ÷ 65 g

Up to 2m

[2]

3


Award TWO marks for the correct answer of 77°F.


• 86 – 68 = 1818 ÷ 2 = 199 + 68

OR

• 86 – 68 = 1818 ÷ 2 = 986 – 9

OR

• 86 + 68 = 154154 ÷ 2

Answer need not be obtained for the award of ONE mark.Up to 2m

[2]

4

Award TWO marks for the correct answer of 35p OR £0.35.


• 50p + 20p + 10p + 10p + 5p = 95p£2.00 − 95p = £1.05£1.05 ÷ 3

Accept for ONE mark an answer of £35 OR £35p OR 0.35p asevidence of an appropriate method.


[2]

5


Award TWO marks for the correct answer of £1.68


• 20 − 14.96 = 5.04 5.04 ÷ 3

Accept for ONE mark an answer of £168 OR £168p as evidence ofan appropriate method.


[2]

6

Second box only ticked correctly, as shown:





Accept alternative unambiguous positive indication of the correctanswer, e.g. Y.

[1]

7

Award TWO marks for 12 AND 13

If the answer is incorrect, award ONE mark for:

• only one correct number and no incorrect number

OR

• 12 AND 13 AND not more than one incorrect number.

Accept for ONE mark an answer of 48 AND 52 AND no more thanone incorrect number.

Up to 2m

[2]

8


Award TWO marks for the correct answer of 101

If the answer is incorrect, award ONE mark for:

• sight of 44

OR

• evidence of appropriate method, e.g.

• 31 − 20 = 1111 × 4 + 57 =

Answer need not be obtained for the award of ONE mark.Up to 2 marks

[2]

9

The correct time circled as shown:

Accept alternative unambiguous positive indications, e.g. 14:01ticked or underlined.

Accept 17:26 circled in addition to 14:01, provided no other time iscircled.

Do not accept only the arrival time 17:26 circled.

[1]

10

24

[1]11


Award TWO marks for numbers completed, as shown:

Award ONE mark for any two numbers completed correctly.Up to 2m

[2]

12

Award TWO marks for only two correct boxes ticked, as shown:

There are more cheetahs than jaguars.

The total number of lions and tigers is 10

One-quarter of the big cats are cheetahs.

There are more than 5 jaguars.

Award ONE mark for:

• only one correct box ticked and no incorrect boxes ticked

OR

• two correct boxes ticked and one incorrect box ticked.Accept alternative unambiguous positive indications, e.g. Y.

Up to 2 marks

[2]

13


Award ONE mark for a correct explanation of why the 95 AND 87 are NOT prime,e.g.

• 87 is divisible by 3 and/or 29 AND 95 is divisible by 5 and/or 19• 87 is in the 3 times table AND 95 is in the 5 times table• 95 is divisible by five because every number in the five times table ends in five

or zero. 87 is divisible by three because 9 is in the three times table so is ninety.Ninety minus three is 87

• 8 + 7 = 15 and 15 is divisible by 3 AND 95 is divisible by 5

No mark is awarded for circling ‘89’ alone.

Both non-primes must be explained correctly for the award of themark.

Do not accept vague or incomplete explanations, e.g.

• The other 2 numbers have more than 2 factors (vague)• 87 is divisible by 3 (incomplete).Do not accept explanations which include incorrect mathematics orincorrect information that is relevant to the explanation, e.g.

• 3 × 27 = 87• 89 has three factors• no numbers go into 89

[1]

14

(a) Quadrilateral completed, as shown:

Accept slight inaccuracies in drawing provided the intention is clear.1

15


(b) Quadrilateral translated correctly, as shown:

Accept slight inaccuracies in drawing provided the intention is clear.

Award ONE mark if the answer to (b) is a quadrilateral with sidesdrawn and is a correct translation of their answer to (a).

1

[2]

£140

Do not accept 140%

[1]

16

(a) 7

Do not accept −7 or 7−1

17

(b) Oslo

Accept unambiguous abbreviations or recognisable misspellings.1

[2]

Numbers in order as shown:

[1]

18


lara chooses a number less than 20 she divides it by 2 and ... · there are 20 big cats in the zoo...

Documents