Mathematics Paper 3: reasoning (May 2016) – with hints
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Mathematics
Paper 3 (May 2016): reasoning, with hints
- This test is not timed.
- Hints are available.
- Answers are reviewed after each question.
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Question 1 of 24
1. Question
2 points1The numbers in this sequence increase by 14 each time.Write the missing numbers.-
(68)82 96 (110)124 138 (152)
Correct
Incorrect
Hint
The number on the right of a number is 14 bigger. The number on the left of a number is 14 smaller. -
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Question 2 of 24
2. Question
1 points2This 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
Correct
Incorrect
Hint
The difference between two temperatures is always a positive number. -
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Question 3 of 24
3. Question
1 pointsOn 22nd January the temperature was 7 degrees lower than on 15th January.What was the temperature on 22nd January?-
(-6) °C
Correct
Incorrect
Hint
The difference in the two temperatures is 7 degrees, but the new temperature is lower, so starting from +1°C, count down 7. -
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Question 4 of 24
4. Question
1 points3A clock shows this time twice a day.
Tick the two digital clocks that show this time.Correct
Incorrect
Hint
The hour hand is between the 2 and the 3. -
Question 5 of 24
5. Question
1 points5Write these numbers in order, starting with the smallest.0.78 0.607 5.6 0.098 4.003
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(0.098) (0.607) (0.78) (4.003) (5.6)smallest
Correct
Incorrect
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 -
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Question 6 of 24
6. Question
2 points6Jacob 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
Correct
Incorrect
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. -
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Question 7 of 24
7. Question
1 points7Here 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)
Correct
Incorrect
Hint
An obtuse angle is greater than 90 degrees. -
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Question 8 of 24
8. Question
1 pointsWrite 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)
Correct
Incorrect
Hint
An acute angle is less than 90 degrees. -
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Question 9 of 24
9. Question
2 points8Olivia 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)
Correct
Incorrect
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. -
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Question 10 of 24
10. Question
1 points9Here 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
Correct
Incorrect
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. -
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Question 11 of 24
11. Question
1 pointsMr 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)
Correct
Incorrect
Hint
Mr Evans has missed the 10:28 bus, but he is on time for the next one. -
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Question 12 of 24
12. Question
1 points10Emma makes a cuboid using 12 cubes.
Write the letter of the cuboid that has a different volume from Emma’s cuboid.
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(c, 18)
Correct
Incorrect
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. -
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Question 13 of 24
13. Question
2 points11
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?Show
your
method-
(2,970, 2970) marbles
Correct
Incorrect
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. -
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Question 14 of 24
14. Question
1 points12A triangle is translated from position A to position B.
Complete the sentence.-
The triangle has moved (6) squares to the rightand (5) squares down.
Correct
Incorrect
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. -
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Question 15 of 24
15. Question
2 points13Lara 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)
Correct
Incorrect
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. 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. -
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Question 16 of 24
16. Question
1 points14Complete 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.
Correct
Incorrect
Hint
There are 60 seconds in a minute, and there are 60 minutes in an hour. -
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Question 17 of 24
17. Question
1 points120 240 600 1,440 3,600 6,000-
There are (1,440, 1440) minutes in an day.
Correct
Incorrect
Hint
Ther are 60 minutes in an hour, so how many minutes in a day? -
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Question 18 of 24
18. Question
2 points15Complete 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)
Correct
Incorrect
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. -
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Question 19 of 24
19. Question
2 points166 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
Correct
Incorrect
Hint
Can you work out the mass of six small bricks? Then what is the mass of five large bricks? 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. -
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Question 20 of 24
20. Question
1 points17Here 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)
Correct
Incorrect
Hint
The area of a triangle is half the base times the height. -
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Question 21 of 24
21. Question
2 points18The diagonals of this quadrilateral cross at right angles.
Tick all the quadrilaterals that have diagonals which cross at right angles.
Correct
Incorrect
Hint
To form right angles, the diagonals of a quadrilateral must be perpendicular. These quadrilaterals have perpendicular diagonals: Square, kite and rhombus. -
Question 22 of 24
22. Question
1 points19Tick two numbers that multiply together to equal 1 million.Correct
Incorrect
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 23 of 24
23. Question
2 points20Lara 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)
Correct
Incorrect
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? 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. -
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Question 24 of 24
24. Question
1 points215,542 ÷ 17 = 326How could you use this fact to find the answer to 18 × 326 ?
Choose the best explanation.
Tick one.Correct
Incorrect
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?
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