Question 1
Here is a list of numbers. 2 4 4 7 8 Work out the range of these numbers.
(1)
Here is a list of numbers. 2 4 4 7 8 Work out the range of these numbers.
(1)
Work out 120 – 89
(1)
Simplify 3×a4
(1)
Measure the size of the angle marked x.
(1)
(1)
There are 3 litres of oil in a can. Jermaine uses 700 millilitres of the oil. Work out the amount of oil left in the can. Give your answer in millilitres.
(3)
Matt is drawing a scale diagram. 1 cm represents 5 m. He draws a line 3 cm long.
What real distance does the line represent?
The real distance between two points is 20 m.
(1)
What is the distance between the two points on the scale diagram?
(1)
Miss Bailey asked 24 students where they each wanted to go on a school trip. Here are the results. museum castle castle farm farm castle farm farm castle farm castle castle castle farm castle museum museum farm castle museum museum museum castle castle
Write down the place that is the mode.
(1)
Draw a bar chart to show the results.
(3)
Selina has a bag of 22 counters. 5 of the counters are blue. 9 of the counters are red. 8 of the counters are pink. Selina takes at random a counter from the bag. Write down the probability that Selina
takes a red counter,
(1)
does not take a pink counter,
(1)
takes a white counter.
(1)
10Here are the ingredients needed to make 20 peanut butter cookies.
Derek wants to make 60 cookies. He has 900 g of peanut butter. Does Derek have enough peanut butter to make 60 cookies? You must show how you get your answer.
(3)
On the grid, draw an enlargement of the triangle with a scale factor of 3
(2)
P = 2g + 4h
Work out the value of P when g = 3 and h = 5
(2)
Work out the value of g when P = 38 and h = 3
V = 3r – q
(2)
Work out the value of V when r = –3 and q = 2
(2)
Chloe is making scrunchies. Chloe has a large number of hair bands. Each hair band costs 8p. She buys 100 g of wool for £3 Chloe uses 1 hair band and 5 g of wool to make each scrunchy. She makes as many scrunchies as she can. Work out the total cost of each scrunchy that she makes. Give your answer in pence.
(4)
On the grid, draw the graph of y = 4 x – 1 for values of x from –2 to 2
(3)
Steve is buying a car. The car costs £12 000 Steve pays 25% of the cost as a deposit. He pays the rest of the cost in 20 equal monthly payments. How much is each monthly payment?
(4)
Shah takes an exam. The exam is out of 60 marks. Shah needs to score at least 70% of the marks to pass the exam. He scores 45 marks. Show that Shah passes the exam.
(2)
Write down the value of 5
(1)
Write 156 as a product of its prime factors.
(2)
Find the highest common factor (HCF) of 156 and 130
(2)
The mean length of 5 sticks is 4.2 cm. Nawal measured the length of one of the sticks as 7 cm.
Work out the mean length of the other 4 sticks.
Nawal made a mistake. The stick was not 7 cm long. It was 17 cm long.
(3)
How does this affect your answer to part (a)?
(1)
The point P lies on the line AB. Use ruler and compasses to construct an angle of 90 at P. You must show all your construction lines.
(2)
The diagram shows an isosceles triangle ABD and the straight line ABC.
BA = BD x:y = 2: 1 Work out the value of w.
(4)
Mano has three shelves of books. There are x books on shelf A. There are (3 x + 1) books on shelf B. There are (2 x – 5) books on shelf C. There is a total of 44 books on the three shelves. All the books have the same mass. The books on shelf B have a total mass of 7500 g. Work out the total mass of the books on shelf A.
(5)
25A piece of glass has a mass of 27 g and a volume of 10 cm3 Work out the density of the piece of glass.
(2)
Expand and simplify (3 x + 2)(2 x – 5)
(2)
Factorise x2 – 16
(1)
The paper as printed
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