Question 1
Simplify e + e + e + e + e
(1)
Simplify e + e + e + e + e
(1)
(1)
Change 60 millimetres into centimetres.
(1)
Write down a multiple of 8 that is between 25 and 35
(1)
Angle A is 53° What type of angle is angle A?
(1)
Samina works in a shop that sells pens. The table shows the number of blue pens and the number of red pens Samina sold in each of three months.
| Month | Blue pens | Red pens |
| April | 33 | 20 |
| May | 40 | 14 |
| June | 27 | 15 |
Work out the total number of blue pens and red pens Samina sold in June.
Samina says, “In these three months, in total, I sold more than twice as many blue pens as red pens.”
(1)
Is Samina correct? You must show how you get your answer.
(3)
There are only 10p coins, 20p coins, 50p coins and £1 coins in a bag. The bar chart shows information about the number of 10p coins and the number of 20p coins in the bag.
There are eight 50p coins in the bag. There are three £1 coins in the bag.
Use this information to complete the bar chart.
(2)
Show that the total amount of money in the bag is less than £10
(3)
The diagram shows two sides of a kite.
On the grid, complete the kite.
(1)
What is the mathematical name of this solid shape?
(1)
Greg is x years old. Greg is 5 years older than Katy.
Write down an expression, in terms of x, for Katy’s age.
Carl is twice as old as Greg.
(1)
Write down an expression, in terms of x, for Carl’s age.
(1)
Solve 4y = 12
(1)
Write 23 619 to the nearest 1000
(1)
Work out an estimate for the value of 5.9 98.1
(2)
Here is part of a train timetable from Liverpool to Birmingham.
| Liverpool | 08 07 | 08 47 | 09 07 |
| Runcorn | 08 25 | 09 03 | 09 26 |
| Crewe | 08 53 | 09 22 | 09 55 |
| Stafford | 09 11 | 09 51 | 10 14 |
| Wolverhampton | 09 30 | – | 10 31 |
| Birmingham | 09 50 | 10 34 | 10 50 |
Which train should take the least time to go from Liverpool to Crewe? You must show how you get your answer.
(3)
Rose gets to the station in Wolverhampton at 09 25 She wants to catch the next train to Birmingham. This train is delayed by 35 minutes.
How many minutes does Rose have to wait for the train?
(2)
Here is a number machine.
Find the output when the input is 6
(1)
Find the input when the output is –11
(2)
A road has a length of 1.6 kilometres. The road is shown on a map with a scale of 1: 20 000 Work out the length, in centimetres, of this road on the map.
(3)
AED and BCD are straight lines. ED = EC Show that EC is parallel to AB. Give a reason for each stage of your working.
(4)
Sam wants to use this recipe to make 15 pancakes.
Sam has 200 g flour 250 ml milk 70 g butter 5 eggs Does Sam have enough flour, enough milk, enough butter and enough eggs to make 15 pancakes? You must show all your working.
(3)
Here are the heights, in cm, of 12 children.
| 146 | 135 | 142 | 150 | 138 | 149 |
| 152 | 146 | 137 | 154 | 147 | 144 |
Show this information in a stem and leaf diagram.
(3)
Find the highest common factor (HCF) of 54 and 120
(2)
There are only red counters, white counters, blue counters and green counters in a bag. Chris is going to take at random a counter from the bag. The table shows the probability that he will take a red counter and the probability that he will take a white counter.
| Colour | red | white | blue | green |
| Probability | 0.3 | 0.1 |
There are twice as many blue counters as there are green counters in the bag.
Work out the probability that Chris will take a blue counter.
There are 45 red counters in the bag.
(3)
Work out the total number of counters in the bag.
(2)
Complete the table of values for y = x2 + x – 4
| x | –3 | –2 | –1 | 0 | 1 | 2 |
| y | 2 | –4 |
(2)
On the grid, draw the graph of y = x2 + x – 4 for values of x from –3 to 2
(2)
Write down the coordinates of the turning point of the graph of y = x2 + x – 4
(1)
There are 280 chocolates in a box. There are only dark chocolates, milk chocolates and white chocolates. of the 280 chocolates are dark chocolates. The number of milk chocolates: the number of white chocolates = 1: 3 The number of white chocolates: the number of dark chocolates = n: 1
Work out the value of n. You must show all your working.
10 milk chocolates from the box are eaten.
(5)
Does this affect your answer to part (a)? Give a reason for your answer.
(1)
23Work out 5.7 × 102 + 9.8 × 103 Give your answer in standard form.
(3)
AB, BC, CD and DE are four sides of a regular polygon with n sides.
BCX is an equilateral triangle. CDYX is a square. Work out the value of n. You must show all your working.
(4)
The straight line L is shown on the grid.
Find an equation for L. Give your answer in the form y = mx + c
(3)
7 2 26 c = 4
d = 1
Work out 2c + 3d Give your answer as a column vector.
(2)
The paper as printed
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