Question 1
Circle the number that is one less than a cube number.
20 22 24 26
[1 mark]
Circle the number that is one less than a cube number.
20 22 24 26
[1 mark]
Circle the fraction which is equal to 0.25
[1 mark]
Here is a number line.
A 3 4 Which number is at A? Circle your answer.
3.3 3.55 3.6 3.8
[1 mark]
How many millimetres are equal to 3.27 metres? Circle your answer.
32.7 327 3270 32 700
[1 mark]
Which is longer, of a day or 1000 minutes? You must show your working.
[3 marks]
Give your answer as a decimal. Write down your full calculator display.
[2 marks]
Is your answer to part (a) sensible? Check by rounding each of 9.75, 1.875 and 6.4 to the nearest whole number. You must show your working.
Tick a box.
[3 marks]
The interior angle of a regular pentagon is 108° Work out the sum of the five reflex angles at the vertices of a regular pentagon.
[3 marks]
Omar asks Harry,
“How many lines of symmetry does a pentagon have?” Harry assumes it is a regular pentagon. His answer is 5.
Draw the lines of symmetry on this regular pentagon.
[1 mark]
Omar then says, “What if the pentagon is not regular?” For a pentagon that is not regular, what is true about the number of lines of symmetry? Tick one box.
[1 mark]
9 56 customers pay for satellite television. They all have the Basic package for £24.50 per month. Some also have the Sports package for £27.50 extra per month the Movie package for £18 extra per month. The frequency tree shows the number of customers with each package.
In total, how much per month do the 56 customers pay?
[4 marks]
Zoe is thinking of a number.
What number is she thinking of?
[3 marks]
On a journey, Laura sees 30 vehicles. Each vehicle is a car, a van or a lorry. She draws this bar chart.
Make two criticisms of her bar chart.
[2 marks]
A drawing has a scale of 1: 40 On the drawing, a bedroom is a rectangle measuring 10 cm by 18 cm A kitchen has an actual area of 300 000 cm2 Which has the bigger actual area, the kitchen or the bedroom? You must show your working.
[4 marks]
Here are two similar shapes, A and B.
length of edges in A: length of edges in B = 2: 5 The perimeter of A is 210 mm Work out the perimeter of B.
[2 marks]
There are 135 passengers on a plane. 3 of the passengers in Business Class are flying for the first time. In total, there are 15 passengers in Business Class. of the passengers not in Business Class are flying for the first time.
In the Venn diagram, ξ = passengers on the plane B = passengers in Business Class F = passengers flying for the first time. Complete the Venn diagram.
[4 marks]
One of the passengers is chosen at random. Write down the probability that the passenger is in Business Class.
[1 mark]
A line has the equation y = x + 3
Write down the coordinates of the point where the line intersects the y-axis.
[1 mark]
Write down the coordinates of the point where the line intersects the x-axis.
[1 mark]
The graph below is used to convert between temperature in degrees Fahrenheit (F) and temperature in degrees Celsius (C).
Use the graph to convert 40 degrees Fahrenheit into degrees Celsius.
[1 mark]
At one temperature, T, the number of degrees Celsius is double the number of degrees Fahrenheit. The graph of C = 2 F can be drawn to help find this temperature.
On the grid opposite, draw the graph of C = 2 F for values of F from –25 to 25 You may use the table to help you.
[2 marks]
Use your graph to estimate the value of T. Give your answer in degrees Celsius.
[2 marks]
In a bag there are 10p coins, 20p coins and 50p coins. There are two fewer 20p coins than 10p coins. There are five more 50p coins than 10p coins.
Complete the table.
| Coin | Number of coins |
| 10p | n |
| 20p | n – 2 |
| 50p |
[1 mark]
Altogether, there are 60 coins. Work out the total value of the 20p coins.
[4 marks]
A force of 180 newtons (N) is applied to the surface of this triangle.
Work out the pressure.
[3 marks]
In a sport, the number of points is directly proportional to the number of wins. On the axes, sketch a graph to show this relationship.
[1 mark]
Using ruler and compasses, show the region inside the grid that is less than 4 cm from A and nearer to B than to C. Label the region R. Show all your construction lines.
[3 marks]
Beth drives 200 miles in 4 hours. She drives the first 18 miles at an average speed of 36 mph Work out her average speed for the rest of the journey.
[3 marks]
The diagram shows rectangle ABDE and right-angled triangle ABC. AC = 17 cm BC = 8 cm
BC: CD = 1: 2 Work out the area of rectangle ABDE.
[4 marks]
In a sport, injury time is added time played at the end of a match. The table shows the injury time, t (minutes) played in 380 matches.
| Injury time, t (minutes) | Frequency |
| 0 | 59 |
| 2 | 158 |
| 4 | 106 |
| 6 | 45 |
| 8 | 12 |
Circle the two words that describe the data.
continuous discrete grouped ungrouped
[1 mark]
Which class interval contains the median? You must show your working.
[2 marks]
What percentage of the matches had more than 6 minutes of injury time?
[2 marks]
x is an integer.
and
Work out all the possible values of x.
[3 marks]
Joe and Kyle share an amount of money in the ratio 7: n Joe gets 35% of the money. Work out the value of n.
[2 marks]
Circle the reciprocal of 4
–4 2 0.4 0.25
[1 mark]
A linear sequence starts 11 21 31 41 … Work out an expression for the n th term of the sequence.
[2 marks]
The paper as printed
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