Question 1
Write the number three thousand one hundred and seven in figures.
(1)
Write the number three thousand one hundred and seven in figures.
(1)
(1)
Simplify m + m + m + m
(1)
Change 4000 grams into kilograms.
(1)
5 7 –5 3 9 –2 Write these numbers in order of size. Start with the smallest number.
(1)
The diagram shows a shape on a centimetre grid.
Find the area of the shape.
(1)
Find the perimeter of the shape.
(1)
Here is a 4-sided spinner.
Samina spins the spinner once.
Choose the word that best describes the probability that the spinner lands on 2
(1)
Choose the word that best describes the probability that the spinner lands on a
Ralph rolls a biased dice once. The probability that he gets the number 5 is 0.4
(1)
Work out the probability that Ralph does not get the number 5
(1)
A quadrilateral has 4 right angles and 4 sides of equal length.
Write down the mathematical name of this quadrilateral.
The diagram shows a solid shape.
(1)
Write down the mathematical name of this shape.
(1)
The table shows the number of books read by four people in one month.
| Person | Number of books |
| Ximena | 7 |
| Martha | 9 |
| Kezia | 1 |
| Tabby | 5 |
Work out the median number of books.
(2)
Find the range.
(1)
On the grid, draw a bar chart to show the information in the table.
(3)
Wayne begins walking at 8 30 am. He walks for 1 hour and 45 minutes. Wayne then rests for 15 minutes. He then walks for 85 minutes to a cafe. Does Wayne get to the cafe before 12 noon? You must show how you get your answer.
(4)
Gabriel thinks of a number. He multiplies his number by 5 and then adds 7 His answer is 72 What number did Gabriel think of?
(3)
Some students took a guitar exam. The pie chart shows information about the grades the students got.
Write down the modal grade.
7 students got distinction.
(1)
Work out the total number of students who took the guitar exam.
(3)
Rowena drove from her home to a beach. Here is a travel graph for her journey.
Rowena stopped at a cafe on her way to the beach.
How many minutes did Rowena take to drive to the cafe?
(1)
Write down the distance from Rowena’s home to the cafe.
Rowena stayed at the beach for 1 hours. She then drove home without stopping. Rowena arrived home at 16 00
(1)
On the grid, complete the travel graph.
(2)
Work out the average speed for the journey from the beach to Rowena’s home.
(1)
120 boxes cost £6 270 bags cost £10 A bag is cheaper than a box. How much cheaper? Give your answer in pence correct to 1 decimal place.
(4)
There are only red beads and green beads in a bag. number of red beads: number of green beads = 1: 4 There are 35 red beads in the bag. Work out the total number of beads in the bag.
(2)
Describe fully the single transformation that maps shape A onto shape B.
(2)
The diagram shows the position of town T.
Town R is 55 km from town T on a bearing of 065° Mark the position of town R with a cross (). Use a scale of 1 cm to 10 km.
(2)
Jenny invests £3000 for 6 years at y % simple interest per year. At the end of the 6 years, Jenny has received a total of £450 in interest. Work out the value of y.
(3)
Simplify (m2)3
(1)
Simplify x5×x8
(1)
Expand 4p(p2 + 3p)
(2)
Jonny wants to know how much coffee he will need for 800 people at a meeting. Each person who drinks coffee will drink 2 cups of coffee. 10.6 g of coffee is needed for each cup of coffee. Jonny assumes 68% of the people will drink coffee.
Using this assumption, work out the amount of coffee Jonny needs. Give your answer correct to the nearest gram.
Jonny’s assumption is wrong. 72% of the people will drink coffee.
(4)
How does this affect your answer to part (a)?
(1)
ACF and ADG are straight lines. BCD and EFG are parallel lines.
Show that triangle ACD is isosceles. Give a reason for each stage of your working.
(5)
It takes 14 hours for 5 identical pumps to fill a water tank. How many hours would it take 4 of these pumps to fill another water tank of the same size?
(2)
A and B are numbers such that A = 22×34×7
Find the highest common factor (HCF) of A and B.
(1)
Find the lowest common multiple (LCM) of A and B.
(2)
25Lava flows from a volcano at a constant rate of 11.9 m3/s How many days does it take for 67 205 600 m3 of lava to flow from the volcano? Give your answer correct to the nearest day.
(3)
26Here is the graph of y = x2 – 2x – 2
Write down the coordinates of the turning point on the graph of y = x2 – 2x – 2
(1)
Write down an estimate for one of the roots of x2 – 2x – 2 = 0
(1)
A solid cuboid is made of metal. The metal has a density of 9 g/cm3 The volume of the cuboid is 72 cm3 Work out the mass of the cuboid.
(2)
Write (9104): (4.5
106) in the form 1:n where n is an integer.
(2)
Write the following numbers in order of size. Start with the smallest number.
(2)
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