##### Mathematics Paper 3: reasoning (May 2016) – with hints

#### Test-summary

0 of 26 questions completed

Questions:

- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
- 15
- 16
- 17
- 18
- 19
- 20
- 21
- 22
- 23
- 24
- 25
- 26

#### Information

# Mathematics

## Paper 3 (May 2016): reasoning, with hints

- This test is not timed.
- Hints are available.
- Answers are reviewed after each question.

You must specify a text. | |

You must specify a text. | |

You must specify a text. | |

You must specify a text. | |

You must specify a text. |

You have already completed the test before. Hence you can not start it again.

Test is loading...

Please login to start the test. If you do not have an account, please subscribe.

You have to finish the following test to start this test:

#### Results

0 of 26 questions answered correctly

Your time:

Time has elapsed

You scored 0 of 0 marks, (0)

#### Categories

- Algebra 0%
- Calculations 0%
- Fractions, Decimals, Percentages 0%
- Geometry-Position and direction 0%
- Geometry-Properties of shapes 0%
- Measurement 0%
- Number and place value 0%
- Ratio and Proportion 0%
- Statistics 0%

completed this test on Wednesday, 20-Nov-19 14:41:18 UTC

Class:

School:

- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
- 15
- 16
- 17
- 18
- 19
- 20
- 21
- 22
- 23
- 24
- 25
- 26

- Answered
- Review

- Question 1 of 26
##### 1. Question

1The numbers in this sequence increase by 14 each time.Write the missing numbers.- (68)82 96 (110)124 138 (152)

2 mark(s)CorrectIncorrect##### Hint

The number on the right of a number is 14 bigger.

The number on the left of a number is 14 smaller.

- Question 2 of 26
##### 2. Question

2This table shows the temperature at 9am on three days in January.What is the difference between the temperature on 1st January and the temperature on 8th January?- (9) °C

1 mark(s)CorrectIncorrect##### Hint

The difference between two temperatures is always a positive number.

- Question 3 of 26
##### 3. Question

On 22nd January the temperature was 7 degrees lower than on 15th January.What was the temperature on 22nd January?- (-6) °C

1 mark(s)CorrectIncorrect##### Hint

The difference in the two temperatures is 7 degrees, but the new temperature is lower, so starting from +1°C, count down 7.

- Question 4 of 26
##### 4. Question

3A clock shows this time twice a day.Tick the two digital clocks that show this time.1 mark(s)CorrectIncorrect##### Hint

The hour hand is between the 2 and the 3.

- Question 5 of 26
##### 5. Question

4Each shape stands for a number.Work out the value of each shape.(32)

1 mark(s)CorrectIncorrect##### Hint

There is a column of 3 triangles, that is worth 96. What is 1 triangle worth?

- Question 6 of 26
##### 6. Question

(18)

1 mark(s)CorrectIncorrect##### Hint

There is a row containing 2 triangles and 2 circles, worth 100. If you already worked out what a triangle is worth, then you can find out what 2 triangles are worth.

Then you just have to subtract the triangles from 100, to leave 2 circles. Now it’s easy to find the value of 1 circle.

- Question 7 of 26
##### 7. Question

5Write these numbers in order, starting with the**smallest**.0.78 0.607 5.6 0.098 4.003

- (0.098) (0.607) (0.78) (4.003) (5.6)smallest

1 mark(s)CorrectIncorrect##### Hint

You may find that it helps to write down the numbers with the same number of digits, for example 0.780 and 5.600

- Question 8 of 26
##### 8. Question

6Jacob cuts**4**metres of ribbon into**three**pieces.The length of the first piece is**1.28**metres.The length of the second piece is**1.65**metres.Work out the length of the third piece.Show

your

method- (1.07) metres

2 mark(s)CorrectIncorrect##### Hint

How much has he cut off, in total?

What length of ribbon must be left?

Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.

Here is some suitable squared paper for you to print.

- Question 9 of 26
##### 9. Question

7Here are five angles marked on a grid of squares.Write the letters of the angles that are**obtuse**.- (c e, c,e, c, e, c and e, e c, e,c, e, c, e and c)

1 mark(s)CorrectIncorrect##### Hint

An obtuse angle is greater than 90 degrees.

- Question 10 of 26
##### 10. Question

Write the letters of the angles that are**acute**.- (a d, a,d, a, d, a and d, d a, d,a, d, a, d and a)

1 mark(s)CorrectIncorrect##### Hint

An acute angle is less than 90 degrees.

- Question 11 of 26
##### 11. Question

8Olivia buys three packets of nuts.

She pays with a**£2**coin.

This is her change.

What is the cost of**one**packet of nuts?Show

your

method- (35p, £0.35, 35 p, 35 pence)

2 mark(s)CorrectIncorrect##### Hint

How much change does she have? Add up the coins.

She started with £2, so how much were the 3 packets of nuts?

So how much is one packet?Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.

Here is some suitable squared paper for you to print.

- Question 12 of 26
##### 12. Question

9Here is part of the bus timetable from Riverdale to Mott Haven.How many minutes does it take the 10:31 bus from Riverdale to reach Mott Haven?- (46, 0 46, 0h 46min, 0:46, 0;46, 0-46) minutes

1 mark(s)CorrectIncorrect##### Hint

On the Riverdale row, look along until you find the 10:31 bus. Look down that column until you reach the row for Mott Haven. That gives you the arrival time of the bus.

Now you need to work out the difference, in hours and minutes, between these two times. - Question 13 of 26
##### 13. Question

Mr Evans is at Fordham at 10:30What is the**earliest**time he can reach Tremont on the bus?- (10:44, 10:44am, sixteen to eleven, 10.44, 10;44, 1044, 10 44, 10-44)

1 mark(s)CorrectIncorrect##### Hint

Mr Evans has missed the 10:28 bus, but he is on time for the next one.

- Question 14 of 26
##### 14. Question

10Emma makes a cuboid using 12 cubes.Write the letter of the cuboid that has a**different**volume from Emma’s cuboid.- (c, 18)

1 mark(s)CorrectIncorrect##### Hint

First work out the volume of Emma’s cuboid. Volume = width x height x depth.

Now do the same for the other cuboids. The question only asks for the one that is different, so as soon as you find one that’s different, you can stop – you have your answer. - Question 15 of 26
##### 15. Question

11A 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?Show

your

method- (2,970, 2970) marbles

2 mark(s)CorrectIncorrect##### Hint

How many marbles are there in one box? Multiply this by the number of boxes.

Or: How many bags of marbles are there altogether? Multiply this by the number of marbles in one bag.Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.

Here is some suitable squared paper for you to print.

- Question 16 of 26
##### 16. Question

12A triangle is translated from position A to position B.Complete the sentence.- The triangle has moved (6) squares to the rightand (5) squares down.

1 mark(s)CorrectIncorrect##### Hint

Pick any corner of the triangle and count how many squares that corner has moved to the right, and down.

It will be the same for every corner, because the triangle has not been rotated or scaled.

- Question 17 of 26
##### 17. Question

13Lara chooses a number less than 20She divides it by 2 and then adds 6She then divides this result by 3Her answer is 4.5What was the number she started with?Show

your

method- (15)

2 mark(s)CorrectIncorrect##### Hint

Start from the value at the end and work backwards, reversing the operations as you go. For a division, multiply. For an addition, subtract.

Here is some suitable squared paper for you to print.

- Question 18 of 26
##### 18. Question

14Complete each sentence using a number**from the list below**.120 240 600 1,440 3,600 6,000- There are (3,600, 3600) seconds in an hour.

1 mark(s)CorrectIncorrect##### Hint

There are 60 seconds in a minute, and there are 60 minutes in an hour.

- Question 19 of 26
##### 19. Question

120 240 600 1,440 3,600 6,000- There are (1,440, 1440) minutes in an day.

1 mark(s)CorrectIncorrect##### Hint

Ther are 60 minutes in an hour, so how many minutes in a day?

- Question 20 of 26
##### 20. Question

15Complete this table by rounding the numbers to the nearest hundred.Rounded to the **nearest hundred**20,906 (20,900, 20900) 2,090.6 (2,100, 2100) 209.06 (200)

2 mark(s)CorrectIncorrect##### Hint

A number rounded to the nearest hundred will end in two zeros, with no decimal point or numbers after it. Be careful to round up or round down, as needed.

- Question 21 of 26
##### 21. Question

166 small bricks have the same mass as 5 large bricks.

The mass of one small brick is 2.5 kg.What is the mass of one large brick?Show

your

method- (3) kg

2 mark(s)CorrectIncorrect##### Hint

Can you work out the mass of six small bricks? Then what is the mass of five large bricks?

Here is some suitable squared paper for you to print.

- Question 22 of 26
##### 22. Question

17Here are five triangles on a square grid.

Four of the triangles have the same area.Which triangle has a**different**area?- (A, 2.5, 2 1/2)

1 mark(s)CorrectIncorrect##### Hint

The area of a triangle is half the base times the height.

- Question 23 of 26
##### 23. Question

18The diagonals of this quadrilateral cross at right angles.Tick**all**the quadrilaterals that have diagonals which cross at right angles.2 mark(s)CorrectIncorrect##### Hint

To form right angles, the diagonals of a quadrilateral must be perpendicular. These quadrilaterals have perpendicular diagonals: Square, kite and rhombus.

- Question 24 of 26
##### 24. Question

19Tick two numbers that multiply together to equal**1 million**.1 mark(s)CorrectIncorrect##### Hint

A million starts with a 1. Several of these numbers cannot give you a number that starts with a 1 when multiplied together. For example, 200 x 2,000 will give a number that starts with a 4. If you can’t spot the answer straightaway, you might use this to quickly narrow down the choices.

- Question 25 of 26
##### 25. Question

20Lara had some money.She spent £1.25 on a drink.She spent £1.60 on a sandwich.She has**three-quarters**of her money left.How much money did Lara have to**start with**?Show

your

method- (£11.40)

2 mark(s)CorrectIncorrect##### Hint

Do some adding up to work out how much Lara spent.

She has thee-quarters of her money left, so what fraction has she spent?

Here is some suitable squared paper for you to print.

- Question 26 of 26
##### 26. Question

215,542 ÷ 17 = 326How could you use this fact to find the answer to**18 × 326**?Choose the best explanation.

Tick**one**.1 mark(s)CorrectIncorrect##### Hint

You are asked to use the facts given. You are given an equation. We can do the same to both sides of an equation and it will still be true. What would the equation look like if you were to multiply both sides by 17?