Question 1
Simplify 5 p – 3 p + p
(1)
Answer
Simplify m3 + m3
(1)
Answer
Simplify 10 + 3 c + 5 d – 7 c + d
(2)
Answer
Simplify 5 p – 3 p + p
(1)
Simplify m3 + m3
(1)
Simplify 10 + 3 c + 5 d – 7 c + d
(2)
Write 56.78 correct to one significant figure.
(1)
A teacher asks the students in Year 6 what type of transport they use to get to school. The dual bar chart shows some of the results.
What is the most popular type of transport used by the boys?
(1)
7 girls walk to school.
Show this information on the dual bar chart.
(1)
More of the students get to school by car than by bus.
How many more?
(1)
The number of students in Year 5 is the same as the number of students in Year 6
What is the total number of students in Years 5 and 6?
(2)
Here are four fractions.
Write these fractions in order of size. Start with the smallest fraction.
(2)
Write down one thing that is wrong with the tally chart.
(1)
David drew this pictogram to show the information for Tuesday and Wednesday.
Write down one thing that is wrong with this pictogram.
(1)
There are 495 coins in a bottle. of the coins are £1 coins. 124 of the coins are 50p coins. The rest of the coins are 20p coins.
Work out the total value of the 495 coins.
(4)
The probability that a new fridge has a fault is 0.015
What is the probability that a new fridge does not have a fault?
(1)
Here is a list of numbers.
21 22 23 24 25 26 27 28 29
From the numbers in the list, write down a square number.
(1)
From the numbers in the list, write down a number that is a multiple of both 4 and 6
(1)
Write down all the prime numbers in the list.
(1)
Find the value of x.
(3)
(4)
You can use this graph to change between inches and centimetres.
Change 74 cm to inches.
(1)
Daniel’s height is 6 feet 3 inches.
1 foot = 12 inches
What is Daniel’s height in centimetres?
(3)
Write down all the figures on your calculator display.
(2)
Rotate shape A 90 clockwise about centre O.
(2)
Describe fully the single transformation that maps triangle B onto triangle C.
(2)
Factorise 5 – 10 m
(1)
Factorise fully 2a2b + 6ab2
(2)
Write 4.7 10–1 as an ordinary number.
(1)
Work out the value of (2.4 103)
(9.5
105) Give your answer in standard form.
(2)
(3)
The table shows the probabilities that a biased dice will land on 2, on 3, on 4, on 5 and on 6
| Number on dice | 1 | 2 | 3 | 4 | 5 | 6 |
| Probability | 0.17 | 0.18 | 0.09 | 0.15 | 0.1 |
Neymar rolls the biased dice 200 times.
Work out an estimate for the total number of times the dice will land on 1 or on 3
(3)
On Saturday, some adults and some children were in a theatre. The ratio of the number of adults to the number of children was 5: 2
Each person had a seat in the Circle or had a seat in the Stalls. of the children had seats in the Stalls. 117 children had seats in the Circle.
There are exactly 2600 seats in the theatre.
On this Saturday, were there people on more than 60% of the seats? You must show how you get your answer.
(5)
The diagram shows a prism with a cross section in the shape of a trapezium.
On the centimetre grid below, draw the front elevation and the side elevation of the prism. Use a scale of 2 cm to 1 m.
(4)
Olly drove 56 km from Liverpool to Manchester. He then drove 61 km from Manchester to Sheffield.
Olly’s average speed from Liverpool to Manchester was 70 km/h. Olly took 75 minutes to drive from Manchester to Sheffield.
Work out Olly’s average speed for his total drive from Liverpool to Sheffield.
(4)
Janie drove from Barnsley to York.
Janie’s average speed from Barnsley to Leeds was 80 km/h. Her average speed from Leeds to York was 60 km/h.
Janie says that the average speed from Barnsley to York can be found by working out the mean of 80 km/h and 60 km/h.
If Janie is correct, what does this tell you about the two parts of Janie’s journey?
(1)
ABC and EDC are straight lines. EA is parallel to DB.
EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm.
Work out the length of AE.
(2)
AC = 6.15 cm.
Work out the length of AB.
(2)
(3)
A number, n, is rounded to 2 decimal places. The result is 4.76
Using inequalities, write down the error interval for n.
(2)
Solve x2 + 5x – 24 = 0
(3)
Here are the first six terms of an arithmetic sequence.
3 8 13 18 23 28
Find an expression, in terms of n, for the n th term of this sequence.
(2)
The nth term of a different sequence is 3n2 Nathan says that the 4th term of this sequence is 144
Is Nathan right? Show how you get your answer.
(1)
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