Question 1
Write down the value of the 4 in the number 542.3
(1)
Write down the value of the 4 in the number 542.3
(1)
Write down a square number that is also an odd number.
(1)
Write 0.31 as a fraction.
(1)
Here are four fractions.
Write the fractions in order of size. Start with the smallest fraction.
(2)
A map has a scale of 1 cm to 14 km.
On the map, the distance between Manchester and London is 18.8 cm.
What is the real distance, in km, between Manchester and London?
(2)
The n th term of a sequence is 3 n + 4
Explain why 21 is not a term of this sequence.
(2)
Here are the first three terms of a different sequence.
1 2 4
Write down two numbers that could be the 4th term and the 5th term of this sequence. Give the rule you have used to get your numbers.
(2)
Here is a number machine.
Work out the output when the input is 8
(1)
Work out the input when the output is 28
(2)
Adam gets a bonus of 30% of £80 Katy gets a bonus of £28
Work out the difference between the bonus Adam gets and the bonus Katy gets.
(3)
There are 49 counters in a bag.
20 of the counters are red. The rest of the counters are blue.
One of the counters is taken at random.
Find the probability that the counter is blue.
(2)
A square has an area of 81 cm2
The diagram shows a right-angled triangle and a parallelogram.
The area of the parallelogram is 5 times the area of the triangle. The perpendicular height of the parallelogram is h cm.
Find the value of h.
(3)
Victoria throws an ordinary fair 6-sided dice once.
She says,
“The probability of getting a 3 is half the probability of getting a 6”
Is Victoria correct? You must explain your answer.
(1)
Andy throws the dice twice. He says, “The probability of getting a 6 on both throws is ”
Is Andy correct? You must explain your answer.
(1)
Indre throws the dice once. She also throws a coin to get Heads or Tails.
List all the possible outcomes she can get.
(2)
Remi invests £600 for 5 years in a savings account. By the end of the 5 years he has received a total of £75 simple interest.
Work out the annual rate of simple interest.
(3)
Describe fully the single transformation that maps shape A onto shape B.
(2)
Adrian is going to make concrete. He is going to use
180 kg of cement 375 kg of sand 1080 kg of stone
Cement, sand and stone are sold in bags.
Adrian already has
10 bags of cement 20 bags of sand 20 bags of stone
Work out what bags he needs to buy to make the concrete.
(3)
Bill wants to increase 150 by 3% He writes down
150 1.3 = 195
Bill’s method is wrong.
Sally wants to decrease 150 by 3%
Complete this statement to show how Sally can decrease 150 by 3%
(1)
E = {even numbers between 1 and 25} A = {2, 8, 10, 14} B = {6, 8, 20} C = {8, 18, 20, 22}
Complete the Venn diagram for this information.
(4)
A number is chosen at random from E.
Find the probability that the number is a member of A B.
(2)
Sean has information about the height, in cm, and the weight, in kg, of each of ten rugby players.
He is asked to draw a scatter graph and a line of best fit for this information.
Here is his answer.
Sean has plotted the points accurately.
Write down two things that are wrong with his answer.
(2)
BEG is a triangle.
ABC and DEF are parallel lines.
Work out the size of angle x. Give a reason for each stage of your working.
(4)
Northern Bank has two types of account. Both accounts pay compound interest.
Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account.
Work out who will get the most interest by the end of 3 years. You must show all your working.
(4)
In the 3rd year the rate of interest for the shares account is changed to 4% per annum.
Does this affect who will get the most interest by the end of 3 years? Give a reason for your answer.
(1)
The diagram shows a floor in the shape of a trapezium.
John is going to paint the floor.
Each 5 litre tin of paint costs £16.99 1 litre of paint covers an area of 2 m2
John has £160 to spend on paint.
Has John got enough money to buy all the paint he needs? You must show how you get your answer.
(5)
A is the point with coordinates (5, 9) B is the point with coordinates (d, 15)
The gradient of the line AB is 3
Work out the value of d.
(3)
Expand and simplify (5 x + 2)(2 x – 3)
(2)
Factorise x2 + 4x + 3
(2)
Write the number 0.000 075 47 in standard form.
(1)
The paper as printed
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