Question 1
Write 0.75 as a fraction.
(1)
Write 0.75 as a fraction.
(1)
Write the following numbers in order of size. Start with the smallest number. –3 4 0 –1 2
(1)
Write down two factors of 15
(1)
Change 1756 grams to kilograms.
(1)
Write the number two million in figures.
(1)
Dave goes into a cafe and buys 2 cups of coffee and a piece of cake. Each cup of coffee costs £2.75 The cake costs £2.90 Dave pays with a £10 note. He thinks he will get more than £1.50 in change. Is Dave correct? You must show how you get your answer.
(3)
There are y boats on a lake. There are 7 people in each boat. Write an expression, in terms of y, for the total number of people in the boats.
(1)
Simplify y × y × y
(1)
The pictogram shows information about the number of vinyl records sold in a shop on Monday and on Tuesday.
Write down the number of vinyl records sold
on Monday,
(1)
on Tuesday.
(1)
On Wednesday and Thursday a total of 36 vinyl records were sold. The number of records sold on Thursday was 8 times the number of records sold on Wednesday.
Use this information to complete the pictogram.
(3)
Here are three symbols.
Write one of these symbols in each box to make four true statements.
(2)
P = 7 r + 3 q Work out the value of P when r = 5 and q = –4
(2)
Here is part of a train timetable.
| Brighton | 07 22 | 07 29 | 07 32 |
| London | 09 00 | 08 32 | 08 48 |
Graham gets to the station in Brighton at 07 15
Work out how many minutes he has to wait until 07 22
(1)
Work out how long it will take the 07 22 train to get to London.
(2)
The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 12 cm. Work out the width of the rectangle.
(3)
Write the ratio 4.5: 2.25 in the form n: 1
(1)
A garden is in the shape of a rectangle 90 m by 60 m. 90 m
(4)
Four biased coins, A, B, C and D are thrown. The probability that each coin will land on Heads is shown in the table.
| Coin | Probability |
| A | 0.33 |
| B | 0.033 |
| C | 1 3 |
| D | 30% |
Which coin is least likely to land on Heads?
(1)
Which coin is most likely to land on Heads?
(1)
Julie says, “The probability that coin C will land on Heads is the same as the probability that coin C will land on Tails.”
Is she correct? Give a reason for your answer.
(1)
Coin B is going to be thrown 4000 times.
Work out an estimate for the number of times coin B will land on Heads.
(2)
There are 84 calories in 100 g of banana. There are 87 calories in 100 g of yogurt. Priti has 60 g of banana and 150 g of yogurt for breakfast. Work out the total number of calories in this breakfast.
(4)
Machine A and machine B both make car parts. Machine A makes 6 parts every 10 minutes. Machine B makes 13 parts every 15 minutes. On Monday machine A makes parts for 12 hours machine B makes parts for 10 hours Work out the total number of parts made by the two machines on Monday.
(4)
Here is a plan of a kitchen drawn to a scale of 1: 30
A B
Sam is going to put a small table in the kitchen. The table has to be more than 180 cm from A more than 150 cm from BC Show, by shading on the diagram, the region where Sam can put the table.
(4)
On the number line below, show the set of values of x for which –2 x + 3 4
(3)
On the grid below, draw the graph of y = 2x – 3 for values of x IURP
í
WR
(3)
Hannah is planning a day trip for 195 students. She asks a sample of 30 students where they want to go. Each student chooses one place. The table shows information about her results.
| Place | Number of students |
| Theme Park | 10 |
| Theatre | 5 |
| Sports Centre | 8 |
| Seaside | 7 |
Work out how many of the 195 students you think will want to go to the Theme Park.
(2)
State any assumption you made and explain how this may affect your answer.
(1)
A container is in the shape of a cuboid.
The container is full of water. A cup holds 275 ml of water. What is the greatest number of cups that can be completely filled with water from the container?
(4)
Sally used her calculator to work out the value of a number y. The answer on her calculator display began 8.3 Complete the error interval for y.
(2)
£360 is shared between Abby, Ben, Chloe and Denesh. The ratio of the amount Abby gets to the amount Ben gets is 2: 7 Chloe and Denesh each get 1.5 times the amount Abby gets. Work out the amount of money that Ben gets.
(4)
Write 1.452 × 103 as an ordinary number.
(1)
Here are the first five terms of a Fibonacci sequence.
3 3 6 9 15
Write down the next two terms of the sequence.
(1)
The first three terms of a different Fibonacci sequence are
a a 2 a
Find the 6th term of this sequence.
(2)
The paper as printed
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