Question 1
Simplify 8 a – 3 a + a Circle your answer.
4 a 6 a 5 + a 8 a – 3 a 2
[1 mark]
Simplify 8 a – 3 a + a Circle your answer.
4 a 6 a 5 + a 8 a – 3 a 2
[1 mark]
Which of these numbers is three less than a square number? Circle your answer.
5 19 22 34
[1 mark]
Circle the length of time between 1.50 pm and 3.35 pm
1 h 45 min 2 h 15 min 2 h 25 min 3 h 5 min
[1 mark]
Circle the letter of the shape that has rotational symmetry of order 2
[1 mark]
Here are eight numbers. 4 10 9 3 4 12 5 14
A shop has this offer.
£5 reduction if you spend more than £100 or £10 reduction if you spend more than £150 or £20 reduction if you spend more than £200
At the shop, dresses cost £42 each. Amira buys 3 dresses. Bobbi buys 5 dresses. How much more than Amira does Bobbi pay?
[3 marks]
The cost of a taxi journey is £3 plus £2 per mile. Circle the cost of a journey of 6 miles.
£5 £12 £15 £30
[1 mark]
What percentage of this shape is shaded?
[2 marks]
A group of students were asked to name their favourite burger. The pictogram shows the results. The key is missing.
40 students said Veggie. How many students said Chicken?
[3 marks]
c = 250 – 162 d = 18 14
Work out the value of c × d
[2 marks]
When a spinner is spun, it shows Blue (B) or Green (G) or Red (R) or White (W). When a coin is tossed, it shows Heads (H) or Tails (T). The spinner is spun and the coin is tossed. Complete this list of possible outcomes.
B H
[2 marks]
A quadrilateral PQRS has PQ = 5 cm QR perpendicular to PQ QR = 7 cm angle QPS = 135 ° PS = 8.5 cm On the grid, draw the quadrilateral PQRS. PQ has been drawn for you.
[4 marks]
Circle the solid that has six vertices.
cone cuboid triangular prism square-based pyramid
[1 mark]
Which of these fractions is closer in value to 1?
You must show your working.
[2 marks]
Three teams, A, B and C, play in a competition. games won by A: games won by B = 2: 1 games won by B: games won by C = 3: 1 Team B has won 6 games. In total, how many games have the three teams won?
[3 marks]
Match each expression in Column P with the equivalent expression in Column Q. One has been done for you.
[3 marks]
A drink is made by adding water to juice. Instructions Add an amount of water that is between 2 times and 3 times the amount of juice Rana has 120 ml of juice. She adds some water. She has now made 450 ml of the drink. Has Rana followed the instructions? You must show your working.
[3 marks]
A rhombus is cut along the diagonals to make four triangles.
Which three statements are correct for any rhombus? Tick three boxes.
[2 marks]
A map of an island is shown on a centimetre grid. A, B and C are houses.
The actual distance between A and B is 1500 metres. Show that the scale on the map is 1: 30 000
[2 marks]
Work out the actual distance between A and C. Give your answer in kilometres.
[4 marks]
a and b are both prime numbers. They are each less than 20 Give an example where a + b is odd but not prime.
[2 marks]
Here is a cuboid.
The two largest faces are blue. The other four faces are green. Is the total blue area greater than the total green area? You must show your working.
[3 marks]
The result of a game is Win, Lose or Draw. After 80 games relative frequency of the result Win is 0.4 relative frequency of the result Lose is 0.25 How many of the games had the result Draw?
[3 marks]
Work out the lowest common multiple (LCM) of 120 and 144
[2 marks]
The scatter graph shows the best high jump and the best long jump for 15 boys.
Write down the type of correlation shown.
[1 mark]
Liam has a best high jump of 166 cm Use a line of best fit to estimate his best long jump.
[2 marks]
Another boy has a best high jump of 195 cm Give a reason why you should not use a line of best fit to estimate his best long jump.
[1 mark]
A car journey is in two stages. Stage 1 The car travels 110 miles in 2 hours. Stage 2 The car travels 44 miles at the same average speed as Stage 1 Work out the time for Stage 2 Give your answer in minutes.
[3 marks]
Here is an identity. a(3x – 10) 21x + 2b Work out the values of a and b.
[3 marks]
J and K are ships. P is a port. J is due South of P. Angle JPK = 56°
Work out the bearing of J from K.
[3 marks]
The 5th term of a linear sequence is 17 The 6th term of the sequence is 21 Work out the 100th term of the sequence.
[3 marks]
2
5
30 a =
b =
7
2
Work out 3 a + b
[2 marks]
The value of a house is £120 000 The value is expected to increase by 5% each year. Work out the expected value after 4 years. Give your answer to 2 significant figures. You must show your working.
[4 marks]
The paper as printed
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