Question 1
Write down the value of the 7 in the number 49.715
(1)
Write down the value of the 7 in the number 49.715
(1)
Here are some fractions.
Which one of these fractions is not equivalent to ?
(1)
Abi has some £10 notes and some £20 notes. The notes have a total value of £400 Abi has six £20 notes. Work out the number of £10 notes Abi has.
(3)
Tom has a fair ordinary dice. He rolls the dice once.
On the probability scale below, mark with a cross () the probability that Tom gets the number 2
(1)
On the probability scale below, mark with a cross () the probability that Tom gets a number greater than 4
(1)
Here is a menu.
| Drink | Cake |
| Coffee (C) Tea (T) Lemonade (L) | Brownie (B) Flapjack (F) Scone (S) |
Asma can choose one drink and one cake. Write down all the possible combinations Asma can choose.
(2)
Write down the coordinates of point A.
(1)
On the grid, mark with a cross () the point D so that ABCD is a square. Label this point D.
(1)
On the grid, mark with a cross () the point E so that C is the midpoint of BE. Label this point E.
(1)
Jason says, “The cube root of 27 is 9 because 27 divided by 3 is 9” Is Jason correct? You must give a reason for your answer.
(1)
Elena’s height is 136 centimetres. George’s height is 1.2 metres. Elena’s height is greater than George’s height. How many centimetres greater?
(2)
The n th term of a sequence is 4 n – 1
Work out the 3rd term of the sequence.
Here are the first four terms of a different sequence. 9 15 21 27
(1)
Is 63 a number in this sequence? You must give a reason for your answer.
(2)
ABCD is a quadrilateral. BCF and DCE are straight lines.
Work out the size of the angle marked x. Give a reason for each stage of your working.
(4)
The accurately drawn diagram shows two points, C and D, on a map.
Find the bearing of D from C.
The scale of the map is 1 cm represents 4 km.
(1)
Work out the real distance from C to D.
(2)
There are 200 counters in a bag. 87 of the counters are green. 24 of the counters are yellow.
What percentage of the counters are yellow?
(1)
A team plays 48 games. The team wins of the 48 games. The number of games the team loses is the same as the number of games the team draws. Work out the number of games the team loses.
(3)
120 students are asked if they have a skateboard or a scooter. 37 of the students have a skateboard. 21 of the students who have a skateboard also have a scooter. 65 of the students have a scooter.
Use this information to complete the frequency tree.
(3)
One of the 120 students is chosen at random.
Find the probability that this student does not have a skateboard.
(1)
Amy buys a car. The car costs £12 000 Amy pays a deposit of 20% of the cost. She pays the rest of the cost in 24 equal monthly payments. Amy says that each monthly payment is less than £450 Is Amy correct? You must show how you get your answer.
(3)
Katya counted the number of people in each of 50 cars. The table gives information about her results.
| Number of people | Frequency |
| 1 | 16 |
| 2 | 15 |
| 3 | 7 |
| 4 | 9 |
| 5 | 3 |
Work out the mean number of people.
(3)
Use your calculator to work out the value of
Give your answer as a decimal. Write down all the figures on your calculator display.
(2)
Write your answer to part (a) correct to 2 significant figures.
(1)
Simplify y10 ÷ y2
(1)
Simplify (e3)2
(1)
Expand x(3x2 + 5)
(1)
Expand and simplify (n + 5)(n – 2)
(2)
The table shows information about the distances that 60 people travel to work.
| Distance (d miles) | Frequency |
| 0 | 12 |
| 10 | 25 |
| 20 | 10 |
| 30 | 8 |
| 40 | 5 |
Draw a frequency polygon for the information in the table.
(2)
23Ben is trying to make m the subject of p = + 5 Here is his working.
m = 3 p – 5 Ben’s answer is wrong.
Mia pays £25 for 200 oranges. Mia puts the oranges into bags. She puts 5 oranges into each bag. Mia sells all the bags of oranges for £1 each bag. Work out Mia’s percentage profit.
(3)
In London, 2 kg of carrots cost £3.75 In New York, 5 lbs of carrots cost 4.90 US dollars. £1 = 1.20 US dollars 1 kg = 2.2 lbs In which city are carrots better value for money, London or New York? You must show how you get your answer.
(4)
Karim rounds a number, n, to 1 decimal place. The result is 23.8 Complete the error interval for n.
(2)
A plane takes 2 hours 24 minutes to fly from Luton to Alicante. The plane flies a distance of 1512 kilometres. Work out the average speed of the plane. Give your answer in kilometres per hour.
........ kilometres per hour
(3)
ABC is a straight line.
Point A has coordinates (2, 7) Point B has coordinates (8, 12)
Find the coordinates of point C.
(3)
The diagram shows trapezium ABCD.
AB = 12 cm AD = 8 cm The trapezium has an area of 112 cm2 Work out the perimeter of the trapezium. Give your answer correct to 3 significant figures.
(5)
Solve algebraically the simultaneous equations x + 7 y = 14 3 x – y = 9
(3)
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