Question 1
Write a number in each box to make the calculation correct.
Write a number in each box to make the calculation correct.
Here is a 3-D shape.
Write down the name of this 3-D shape.
(1)
Write down the number of edges of this 3-D shape.
(1)
An ordinary fair dice is thrown once.
On the probability scale below, mark with a cross () the probability that the dice lands on an odd number.
(1)
Write down the probability that the dice lands on a number greater than 4
(1)
Shaun is 1.88 m tall.
David is 6 cm taller than Shaun.
How tall is David?
(2)
8 2 pens cost £2.38 5 folders cost £5.60
Ben wants to buy 20 pens and 20 folders. He only has £50
Does Ben have enough money to buy 20 pens and 20 folders? You must show how you get your answer.
(4)
The diagram shows five shapes on a centimetre grid.
Write down the name of shape E.
(1)
Two of the shapes are congruent.
Write down the letters of these two shapes.
(1)
On the grid, reflect the shaded shape in the mirror line.
(1)
There are men and women at a meeting.
There are 28 women. 30% of the people at the meeting are men.
Work out the total number of people at the meeting.
(3)
Joan asked each of 60 people to name their favourite vegetable.
Here are her results.
| Vegetable | Frequency |
| Peas | 24 |
| Carrots | 16 |
| Mushrooms | 20 |
Draw an accurate pie chart for her results.
(3)
Annie sold
45 books at £1.20 each 34 candles at £1.50 each some calendars at 90p each
She got a total of £150
Work out how many calendars Annie sold.
(4)
Here is a 4-sided spinner.
The table shows the probabilities that when the spinner is spun it will land on 1, on 3 and on 4
| Number | 1 | 2 | 3 | 4 |
| Probability | 0.2 | 0.4 | 0.1 |
The spinner is spun once.
Work out the probability that the spinner will land on 2
(1)
Which number is the spinner least likely to land on?
(1)
Jake is going to spin the spinner 60 times.
Work out an estimate for the number of times the spinner will land on 1
(2)
Bert has 100 cards. There is a whole number from 1 to 100 on each card. No cards have the same number.
Bert puts a star on every card that has a multiple of 3 on it. He puts a circle on every card that has a multiple of 5 on it.
Work out how many cards have both a star and a circle on them.
(3)
Write down the ratio of 450 grams to 15 grams. Give your answer in its simplest form.
(2)
The diagram shows a pentagon. The pentagon has one line of symmetry.
AE = 4 x AB = 2 x + 1 BC = x + 2
All these measurements are given in centimetres.
The perimeter of the pentagon is 18 cm.
Trevor buys a boat. The cost of the boat is £14 200 plus VAT at 20%
Trevor pays a deposit of £5000 He pays the rest of the cost in 10 equal payments.
Work out the amount of each of the 10 payments.
(4)
On the number line, show the inequality x 4
–5 –4 –3 –2 –1 0 1 2 3 4 5
(2)
3 y
7 where y is an integer.
Write down all the possible values of y.
(2)
Write down all the figures on your calculator display.
(2)
Last year Jo paid £245 for her car insurance. This year she has to pay £883 for her car insurance.
Work out the percentage increase in the cost of her car insurance.
(3)
Complete this table of values for y = x2 + x – 4
| x | –3 | –2 | –1 | 0 | 1 | 2 | 3 |
| y | –2 | –2 |
(2)
On the grid, draw the graph of y = x2 + x – 4 for values of x from –3 to 3
(2)
Use the graph to estimate a solution to x2 + x – 4 = 0
(1)
Fran asks each of 40 students how many books they bought last year.
The chart below shows information about the number of books bought by each of the 40 students.
Number of books
Work out the percentage of these students who bought 20 or more books.
(2)
Show that an estimate for the mean number of books bought is 9.5 You must show all your working.
(4)
Lara is a skier.
She completed a ski race in 1 minute 54 seconds. The race was 475 m in length.
Lara assumes that her average speed is the same for each race.
Using this assumption, work out how long Lara should take to complete a 700 m race. Give your answer in minutes and seconds.
(3)
Lara’s average speed actually increases the further she goes.
How does this affect your answer to part (a)?
(1)
ABC is a right-angled triangle.
AC = 14 cm. Angle C = 90
size of angle B: size of angle A = 3: 2
Work out the length of AB. Give your answer correct to 3 significant figures.
(4)
Here are the first four terms of an arithmetic sequence.
5 11 17 23
Write down an expression, in terms of n, for the n th term of the sequence.
(2)
The paper as printed
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