Paper 3A: reasoning This resource is strictly for the use of member schools for as long as they remain members of The PiXL Club. It may not be copied, sold nor transferred to a third party or used by the school after membership ceases. Until such time it may be freely used within the member school. All opinions and contributions are those of the authors. The contents of this resource are not connected with nor endorsed by any other company, organisation or institution.

The numbers in this sequence increase by 16 each time. 82 98 130 146

The 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. On 22nd January the temperature was 7 degrees lower than on 15th January. What was the temperature on 22nd January?

A clock shows this time twice a day. 12 11 1 10 2 9 3 8 4 7 5 6 Tick the two digital clocks that show this time. 02:35 07:35 01:35 13:35 21:35

= 4. Each shape stands for a number. Total 72 Total 75 Work out the value of each shape. =

5. Write these numbers in order, starting with the smallest. 0.51 0.403 3.5 0.076 1.002 smallest

Jacob cuts 7 metres of ribbon into four pieces. The length of the first piece is 2.73 metres. The length of the second and third pieces are 1.58 metres. Work out the length of the fourth piece. metres

Here are five angles marked on the grid of squares. Write the letters of the angles that are obtuse. Write the letters of the angles that are acute. b d c a e

Olivia buys three packets of nuts. She pays with a £3 coin. This is her change. What is the cost of one packet of nuts?

Here is part of a bus timetable from Riverdale to Mott Haven. How many minutes does it take the 10:48 bus from Riverdale to reach Fordham? Mr Williams is at Kingsbridge at 10:40. What is the earliest time he can reach Mott Haven on the bus? minutes

10. Emma makes a cuboid using 12 cubes. Write the letter of the cuboid that has a different volume from Emma’s cuboid.

11. A toy shop orders 8 boxes of marbles. Each box contains 6 bags of marbles. Each bag contains 42 marbles. How many marbles does the shop order in total? 42 marbles

A triangle is translated from position A to position B. Complete the sentence. The triangle has moved squares to the right and squares down.

Lara chooses a number less than 20. She divides it by 3 and then adds 4 She then divides this result by 5 Her answer is 2 What was the number she started with?

Complete each sentence using a number from the list below. 7 24 60 120 168 3,600 There are seconds in an minute. There are hours in a week.

Complete this table by rounding the numbers to the nearest hundred. Rounded to the nearest hundred 30,802 3,080.2 308.02

16. 8 small bricks have the same mass as 5 large bricks. The mass of one small brick is 3.5 Kg. What is the mass of one large brick?

Here are five triangles on a square grid. Four of the triangles have the same area. Which triangle has a different area? A B D C E

18. The diagram shows two lines of symmetry of this quadrilateral. Show the lines of symmetry of each of these quadrilaterals.

Circle two numbers that multiply together to equal 6 million. 20 200 3,000 30,000

£ Sam had some money. She spent £1.34 on a drink. She spent £2.46 on a sandwich. She has half of her money left. How much did Sam have to start with? £

Explain how you can use this fact to find the answer to 17 x 451 7,216  16 = 451 Explain how you can use this fact to find the answer to 17 x 451