Question 1
Here are the first three patterns in a sequence.
How many squares in Pattern 6 would have a cross (X) in them?
[2 marks]
Here are the first three patterns in a sequence.
How many squares in Pattern 6 would have a cross (X) in them?
[2 marks]
Line AB is on a grid.
Write down the coordinates of the midpoint of the line AB.
[1 mark]
Jodie makes a sandwich using one type of bread and one filling.
| Bread | Filling |
| White (W) or Brown (B) | Cheese (C) or Ham (H) or Tuna (T) |
Complete the table of the 6 possible sandwiches they could make. One has been done for you.
[2 marks]
What fraction of the possible sandwiches use Cheese?
[1 mark]
Here is a number machine.
Work out the output when the input is 4
[1 mark]
Work out the input when the output is 19
[2 marks]
Complete this number machine.
[1 mark]
Complete the table to show equivalent fractions, decimals and percentages.
| Fraction | Decimal | Percentage |
| 0.5 | 50% | |
| 1 10 | 10% | |
| 2 5 | 0.4 |
[3 marks]
What percentage of this grid is shaded?
[1 mark]
Which metric unit would be most suitable for each measurement? Tick one box for each.
[3 marks]
A mobile phone company has two different plans.
Show that the total cost of Plan A for 24 months is £764
[2 marks]
During a sale, the total cost of Plan B is reduced by 10%
Which plan is cheaper for 24 months during the sale?
Show working to support your answer.
[3 marks]
One burger costs £3.80 Two burgers and three hotdogs cost £15.85
Work out the cost of one hot dog.
[3 marks]
The square of a whole number is a two-digit number.
Work out the smallest number that could have been squared and the largest number that could have been squared.
[3 marks]
Which has the larger value 0.82 or 0.83 ? Tick a box.
Give a reason for your answer.
[1 mark]
£4.56 is paid using the smallest possible number of coins.
What is the modal value of the coins used? You must show your working.
[2 marks]
Here is a list of five numbers.
5 9 4 16 8
An extra number is put into the list. The median of the numbers is now 7
Work out the extra number.
[2 marks]
Paul buys plates for his cafe. The cafe has 20 tables. He buys 6 plates for each table plus an extra 70% for spares.
Work out how many plates Paul buys in total.
[3 marks]
The table shows the age and value of some cars.
| Age of car (years) | 2 | 3 | 3 | 4 | 5 | 6 | 7 | 10 |
| Value of car (nearest £1000) | 22 000 | 21 000 | 18 000 | 19 000 | 14 000 | 12 000 | 9000 | 5000 |
Anil draws this scatter diagram and line of best fit for the data.
Write down two mistakes he has made.
[2 marks]
A rectangle and a triangle are drawn on a square grid.
Work out the ratio area of rectangle: area of triangle
[3 marks]
A box contains cards that are either red, blue, green or yellow.
| Colour | Red | Blue | Green | Yellow |
| Probability | 0.1 | 0.24 |
P(green) = P(yellow)
Complete the table.
[2 marks]
There are 600 cards in the box. How many cards are not blue?
[3 marks]
A and B are triangles.
For each statement, tick the correct box to describe A and B.
[3 marks]
Here is an equilateral triangle. All measurements are in centimetres.
Work out the value of the perimeter of the triangle.
[4 marks]
Sid and Zak each throw the same biased coin. Here is some information about their throws.
Work out the relative frequency of Heads for the 200 throws.
[2 marks]
Which results would give the best estimate of the probability of Heads?
Tick one box.
Give a reason for your answer.
[1 mark]
The pie chart represents the results of matches played by a team.
30 matches were won.
How many matches were lost?
[3 marks]
Here is a scale diagram showing towns A, B and C on a centimetre grid.
Work out the actual distance from B to C. Give your answer in kilometres.
[4 marks]
B is South East of A.
Write down the bearing of B from A.
[1 mark]
A linear sequence has
• 2nd term = 6
• 5th term = 18
Work out the n th term of the sequence.
[3 marks]
Ary, Bea and Cat each have an amount of money. Cat has £280
• Cat’s amount is of Bea’s amount.
• Ary’s amount: Bea’s amount = 5: 12
Work out how much money Ary has.
[3 marks]
The Venn diagram shows some of the numbers of items in each set.
Work out the value of x.
x =
[2 marks]
Use Pythagoras’ theorem to show that the value of x is between 10 and 11
[4 marks]
Write down the equation of a straight line parallel to y – 2 x = 9
[1 mark]
A straight line
• has gradient 5
• passes through the point (3, 7)
Circle the equation of the line.
y = 3 x – 2 y = 3 x + 7 y = 5 x y = 5 x – 8
[1 mark]
The paper as printed
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