Question 1
What is 6.2819 to 2 decimal places? Circle your answer.
6.2 6.28 6.29 6.3
[1 mark]
What is 6.2819 to 2 decimal places? Circle your answer.
6.2 6.28 6.29 6.3
[1 mark]
2 50% of a number is 40 Circle the number.
20 80 800 2000
[1 mark]
Circle the correct statement.
[1 mark]
Shapes A, B, C and D are on a square grid.
Which two shapes are congruent? Circle your answer.
A and C B and A C and D D and B
[1 mark]
Here are three number cards.
Use all three cards to make the answer to this calculation a multiple of 10
[1 mark]
Use all three cards to make the answer to this calculation a single-digit number.
[1 mark]
Use all three cards to make this a correct calculation.
[1 mark]
Greg wants to buy a games console that costs £267.50 He already has £125 He will save £7.50 each week. In how many weeks will he have saved enough?
[3 marks]
Match the algebra to the correct description. One has been done for you.
[2 marks]
A team of two players is picked from these people.
The team must have one female player and one male player. Complete this list to show all of the possible teams.
| Female player | Male player |
| A | E |
[2 marks]
9 500 people started a race. 280 were men and the rest were women. 80% of the men finished the race. 30 women did not finish the race. Complete the frequency tree.
[5 marks]
Put these three distances in order of size.
Start with the shortest.
Shortest distance
[2 marks]
AB is a straight line.
Work out the size of angle x.
[2 marks]
Some players were asked the shirt colour of their football team. Each answer was either White, Blue, Red or Green. A pie chart is drawn to represent the answers. Two of the sectors are shown.
The number who answered Red is three times the number who answered Green. Complete the pie chart.
[3 marks]
There were 600 players altogether. How many players answered White?
[2 marks]
Milly has an equal number of 20p coins and 50p coins. The value of her 20p coins is £2.80 Work out the total value of her 20p and 50p coins.
[3 marks]
Here are ticket prices for a theme park.
Single tickets Adult £48 Child £26 Special offer tickets 1 adult and 2 children £82 2 adults and 2 children £120
Freya buys tickets for 3 adults and 4 children. She pays the cheapest possible total cost. How much does she save compared to buying all single tickets?
[4 marks]
Leroy buys 5 single adult tickets. He uses a voucher that reduces the price of tickets by a quarter. In total, how much does he pay?
[3 marks]
n is negative. Circle the expression that is positive.
[1 mark]
Here is a formula.
Draw the graph of y = 3.6 x for values of x from 0 to 20
[2 marks]
In the formula y = 3.6 x y is speed in kilometres per hour (km/h) x is speed in metres per second (m/s)
Convert 50 km/h to m/s Give your answer to the nearest whole number.
[1 mark]
Convert 30 m/s to miles per hour. Use 1 mile per hour = 1.61 km/h
miles per hour
[3 marks]
A record was kept of the number of days that 25 students were absent one term. The chart represents the results.
Work out the mean number of days absent.
[3 marks]
One of the students is chosen at random. Work out the probability that the student was absent for less than 4 days.
[2 marks]
Bobbi has these notes.
| Note | Number of notes |
| £5 | 3 |
| £10 | x |
The total value of her notes is £ T Write a formula for T in terms of x.
[2 marks]
The side elevation and plan of a cuboid are shown on the centimetre grid.
Draw the front elevation of the cuboid on this centimetre grid.
[2 marks]
To the nearest 1000, there are 18 000 people at a festival.
Write down the minimum possible number of people at the festival.
[1 mark]
Write down the maximum possible number of people at the festival.
[1 mark]
Circle the equation of the line parallel to y = 5 x + 2
y = 2 x + 5 y = 5 x – 2 y = – 5 x + 2 y = – 2 x – 5
[1 mark]
ABCD represents the plan of a field.
There is a path across the field that starts at B is the same distance from BA and BC. Using ruler and compasses, show the position of the path.
[2 marks]
a is two times b. Circle the ratio a: b
1: 3 3: 1 1: 2 2: 1
[1 mark]
Use Pythagoras’ theorem to work out the value of x.
[3 marks]
Chris visits a library. He cycles to the library in half an hour at a speed of 12 miles per hour. He stays at the library for one hour. He then cycles home. The sketch graph represents his visit.
Work out the speed, in miles per hour, at which Chris cycles home.
[3 marks]
These two triangles are similar.
Work out the value of a.
[2 marks]
Circle the expression that is equivalent to (x – 1) 2
x 2 – 1 x 2 + 1 x 2 – 2 x – 1 x 2 – 2 x + 1
[1 mark]
Here is some information about 26 houses. a, b and c are all different numbers.
| Number of bedrooms | Number of houses |
| 1 | 7 |
| 2 | a |
| 3 | b |
| 4 | c |
| 5 | 8 |
The median number of bedrooms is 3.5 Work out a possible set of values for a, b and c.
a =
c =
[3 marks]
A rectangle has length 60 cm and width 40 cm
The length decreases by 15% The width decreases by 10% Sue says, ‘‘The perimeter decreases by 25% because 15% + 10% is 25%’’ Is she correct? You must show calculations to support your answer.
[4 marks]
Expand and simplify fully 4(2 c + 3) – (5 c – 1)
[2 marks]
4
2
c = d =
31
9
5
Work out 4 c + 3 d
[2 marks]
The paper as printed
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