Question 1
Circle the lowest of these temperatures. –4.9°C 0°C –7°C 0.1°C
[1 mark]
Circle the lowest of these temperatures. –4.9°C 0°C –7°C 0.1°C
[1 mark]
Circle the expression that is four times bigger than n.
[1 mark]
Circle the fraction greater than
[1 mark]
Simplify a × a × a + b + b
[2 marks]
Simplify 5(x + 3) – x + 2
[3 marks]
Twelve cards numbered 1 to 12 are put into six pairs. Each pair has a total. Complete the table to show the pairs and their totals.
| Cards | Total |
| 1 and 2 | 3 |
| and | 9 |
[4 marks]
Here is a number machine.
Work out the output when the input is 4
[1 mark]
Work out the output when the input is –4
[1 mark]
Here is information about the goals scored in some hockey games. Each game has four quarters.
Which quarter was the mode for away goals? Circle your answer. 1st 2nd 3rd 4th
[1 mark]
There were 10 games. Work out the mean number of goals per game.
[2 marks]
In total, how many more home goals were scored than away goals?
[2 marks]
Rob says, “More home teams must have won because there were more home goals.” Is he correct? Give a reason for your answer.
[1 mark]
List all the factors of 30
[2 marks]
A factor of 30 is chosen at random. What is the probability that it is a 2-digit number?
[1 mark]
Each shape below has an area of 24 cm2 Complete the missing lengths.
[3 marks]
A television channel shows 12 minutes of adverts in each half hour. How many minutes of adverts does it show from 5 am to 11 pm?
[3 marks]
Put these probabilities in order, starting with the least likely.
[2 marks]
A circle is drawn on a centimetre grid.
Draw a tangent to the circle.
[1 mark]
Grace works out that the area of the circle is more than 9 cm2 Why must this be wrong?
[1 mark]
The front elevation, side elevation and plan of a solid are all the same, as shown.
Write down the name of the solid.
[1 mark]
The front elevation, side elevation and plan of a solid are all the same, as shown.
Write down the name of the solid.
[1 mark]
Show that there are exactly five 3-digit cube numbers.
[3 marks]
Triangles ABC and DEF are similar.
Work out the value of x.
[2 marks]
Write down the size of angle y.
[1 mark]
CD and PQ are lines of length 12 cm
CE: CD = 1: 2 Mark point E on the line with a cross.
[1 mark]
PR: RQ = 1: 3 Mark point R on the line with a cross.
[1 mark]
A shop sells two brands of battery.
One brand A battery powers a toy for 5 hours. One brand B battery powers the same toy for 5 hours. Which brand is better value? You must show your working.
[5 marks]
The value of x can be 2 or 5 The value of y can be 3 or 12
List the possible values of xy
[2 marks]
Work out the least possible value of You must show your working.
[2 marks]
An exam has two papers. Anil scores 33 out of 60 on paper 1 and 75 out of 100 on paper 2 Work out his percentage score for the exam.
[3 marks]
Purple paint is made by mixing red paint and blue paint in the ratio 5: 2 Yan has 30 litres of red paint and 9 litres of blue paint. What is the maximum amount of purple paint he can make?
[3 marks]
This shape is made from two triangles and four congruent parallelograms.
For each statement, tick the correct box.
The length of a pipe is 6 metres to the nearest metre. Complete the error interval for the length of the pipe.
[2 marks]
The length of a different pipe is 4 metres to the nearest metre. Olly says, “The total length of the two pipes is 11 metres to the nearest metre.” Give an example to show that he could be correct.
[2 marks]
AB, CD and EF are straight lines.
Ava assumes that AB and CD are parallel. What answer should she get for the size of angle y ?
[4 marks]
In fact, AB and CD are not parallel angle w is 60° What effect does this have on the size of angle y ? Tick a box.
Show working to support your answer.
[3 marks]
There are 720 boys and 700 girls in a school. The probability that a boy chosen at random studies French is The probability that a girl chosen at random studies French is
Work out the number of students in the school who study French.
[3 marks]
Work out the probability that a student chosen at random from the whole school does not study French.
[2 marks]
Circle the expression equivalent to x2 – 4x – 12
(x – 4)(x – 8) (x + 3)(x – 4) (x – 12)(x + 1) (x + 2)(x – 6)
[1 mark]
How are the whole number solutions to A and B different?
[2 marks]
The paper as printed
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