Question 1
Circle the value of the digit 7 in 9.17
[1 mark]
Circle the value of the digit 7 in 9.17
[1 mark]
Which of these shapes has no lines of symmetry? Circle the correct letter.
[1 mark]
Circle the shortest length.
1200 cm 0.13 km 110 m 140 000 mm
[1 mark]
Saj wants to go to all 19 home games at a football club. For each game, a ticket costs £28 A season ticket costs £379 and gives entry to all 19 home games. In total, how much does Saj save by buying a season ticket?
[3 marks]
Link the algebra to the correct description. One has been done for you.
[3 marks]
Jim has six banknotes. The value of each note is £5 or £10 or £20 He can make £20 with three notes. He can make £55 with four notes. He cannot make £25 with three notes. He cannot make £25 with four notes. List the six notes.
[2 marks]
A music app has a shuffle play function. This means that songs are played in a random order without repeat.
Ruth puts 10 songs on shuffle play. One of them is her favourite song. Write down the probability that her favourite song plays first.
[1 mark]
Ted puts songs A, B and C on shuffle play. List all the possible orders of songs A, B and C. One has been done for you.
A B C
[2 marks]
Here is a scale drawing.
The Ferris wheel has a height of 130 m Work out the height of the building.
[3 marks]
Jo has a full cup of coffee.
She drinks some of it.
She says, “Half of the coffee is still in the cup, because 5 cm is half of 10 cm” Is she correct?
Give a reason for your answer.
[1 mark]
A takeaway sells 10-inch pizzas and 12-inch pizzas. Here is some information about the numbers sold in two weeks.
In each week a proportion of the pizzas sold were 10-inch. In which week was this proportion greater? Show working to support your answer.
[2 marks]
The table shows the profit or loss the takeaway makes on each pizza.
| Normal price Offer price | |
| 10-inch | £3.74 profit 51p loss |
| 12-inch | £5.29 profit 4p loss |
In week 1 the total profit was £1895.55 At the end of week 1 the takeaway spent £175 on adverts. Was the increase in profit in week 2 more than the cost of the adverts? You must show your working.
[4 marks]
A car travels 3.5 miles in 5 minutes. Work out the average speed in miles per hour.
[3 marks]
Work out the area of the triangle.
[2 marks]
Four positive whole numbers add up to 36 One of the numbers is a multiple of 7 The other three numbers are equal. Work out the result when the four numbers are multiplied.
14Do not writeoutside thebox
[3 marks]
A sketch of triangle ABC is shown.
In the space below, complete an accurate drawing of triangle ABC.
[2 marks]
Simplify 7 x – (3 x – 2 x) Circle your answer.
7 x – 1 2 x 6 x 8 x
[1 mark]
A competition took place in 1983 takes place every six years. Circle the year in which it will also take place.
2083 2036 2049 2023
[1 mark]
In an election there were four candidates, J, K, L and M. Fran is drawing a pie chart to show the results. The sectors for J and K have been drawn.
Twice as many people voted for L as voted for M. Complete the pie chart.
[3 marks]
Altogether, 16 200 people voted. How many voted for J?
[2 marks]
The probability that A is the outcome of an experiment is 0.2 Circle the probability that A is not the outcome.
0 0.2 0.5 0.8
[1 mark]
Rearrange e = 2 f to make f the subject. Circle your answer.
[1 mark]
Here is a rule for a sequence.
Here is a sequence that follows this rule. 2 10 6 ……. ……. ……. Show that the 6th term is the first one that is not a whole number.
[3 marks]
A different sequence follows the same rule. The 1st term is 4 The 3rd term is 9.5 4 ……. 9.5 Work out the 2nd term.
[3 marks]
In a group of 20 people 7 own a dog 3 own a cat 12 do not own a dog or a cat. Aidan shows this information on a Venn diagram.
Make two criticisms of his Venn diagram.
[2 marks]
a is a common factor of 72 and 120 b is a common multiple of 6 and 9 Work out the highest possible value of
[4 marks]
A and B are similar shapes. B is an enlargement of A with scale factor 1.5 Not drawn
Work out the values of x, h and w.
[3 marks]
Investment A Save £150 per month for 2 years. 2.5% interest is added to the total amount saved. Investment B Invest £3500 Compound interest is added at 3% per year. After 2 years, how much more is investment B worth than investment A?
[4 marks]
Show that the lines y = 3 x + 7 and 2 y – 6 x = 8 are parallel. Do not use a graphical method.
[3 marks]
Is the point (–5, –6) above, below or on the line y = 3 x + 7 ? Tick one box.
You must show your working. Do not use a graphical method.
[2 marks]
The cost of a ticket increases by 10% to £19.25 Work out the original cost.
[3 marks]
The n th term of a sequence is 12 n – 5 Work out the numbers in the sequence that have two digits and are not prime.
[3 marks]
6
–1
–4
30 a =
b =
c =
–10
2
7
Show that a + 2 c = k b, where k is an integer.
[2 marks]
The paper as printed
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