(a) Find the area of the shape... cm 2 (1) (b) Find the perimeter of the shape
Questions Q1. The diagram shows a shape on a centimetre grid.
(a) Find the area of the shape.
.........................................................
Q3. Lisa sees a dress in a sale. The normal price of the dress is $45 The price of the dress is reduced by 12% in the sale. (a) Work out the price of the dress in the sale. $........................................................... (3) Lisa's weekly pay increases from $525 to $546 (b) Calculate her percentage pay increase.
...........................................................% (3) (Total for question = 6 marks)
Q4. (a) (i) Write the number on the dotted line to make the calculation correct. 283 + .................... = 576
(ii) Write the number on the dotted line to make the calculation correct. 50% of .................... = 9.7 (2) (b) Write brackets in this calculation so that the answer is correct. 7 − 2 × 5 + 7 = 60 (1) (Total for question = 3 marks) Q5. Jean gets home at 7 o'clock in the evening. (a) Write 7 o'clock in the evening using the 24–hour clock.
Jean is going to watch her favourite TV programme. The programme starts at 8 40 pm. The programme lasts for 1 hour 45 minutes. (b) Work out the time at which the programme ends.
.......................................................... pm (2) The next programme lasts for 40 minutes. (c) Write 40 minutes as a fraction of 1 hour. Give your answer in its simplest form. .........................................................(2) (Total for question = 5 marks)
Q6.
(a) Work out the value of Give your answer as a decimal. Write down all the figures on your calculator display.
(b) Give your answer to part (a) correct to 2 significant figures. ........................................................... (1) (Total for question = 3 marks) Q7. (a) (i) Work out 2.912 Write down all the figures on your calculator display. ........................................................... (ii) Write your answer to part (a)(i) correct to 2 decimal places. ........................................................... (2) (b) (i) Find the cube root of 30 Write down all the figures on your calculator display. ........................................................... (ii) Write your answer to part (b)(i) correct to 2 significant figures. ........................................................... (2) (Total for question = 4 marks)
Q8. Rayna has a fair 4-sided spinner. The spinner can land on 3, 5, 7 or 9
Rayna spins the spinner 20 times. She records the score for each spin. Here are her scores.
(a) Complete the frequency table for these results.
Rayna says that 3, 5, 7 and 9 are all prime numbers. (d) Explain why Rayna is wrong. ............................................................................................................................................. ............................................................................................................................................. (1) Rayna now spins her spinner twice. She adds the two numbers together to get the total. (e) Complete the table to show the total for each possible outcome. Five of the totals have been done for you.
(2)
Rayna spins the spinner twice. (f) (i) Write down the probability that she will get a total of 10 ........................................................... (ii) Write down the probability that she will get a total greater than 12 ........................................................... (3) (Total for question = 10 marks)
Q9.
(a) Change 320 euros to US dollars.
.................................................... US dollars (2) (b) Change 841 US dollars to euros.
.................................................... euros (2) (Total for question = 4 marks)
Q10. (a) Write down the value of the 7 in the number 26.478
(b) Write these numbers in order of size. Start with the smallest number.
........................................................... (1) (c) Write 2.792 correct to 1 decimal place. ........................................................... (1) (d) Find the number which is halfway between 2.7 and 3.5 ........................................................... (1) (e) Write 0.07 as a percentage. ........................................................... % (1) (Total for question is 5 marks)
Q11. (a) Work out the number which is exactly halfway between 0.3 and 0.6 ........................................................... (1) (b)
What is the reading on the scale? ........................................................... (1) (c) Write down the value of the 3 in the number 0.243 ........................................................... (1) (d) Write these numbers in order of size. Start with the smallest.
........................................................... (2) (Total for question = 5 marks)
.......................................................... kg (2)(Total for question = 7 marks)
Q13.
Jack, Kate and Lila share some money in the ratios 5 : 9 : 6 In total, Jack and Kate receive £56 Work out the amount of money Lila receives.
£ ........................................................... (Total for question = 3 marks)
Q14. The bar chart shows information about how some students travelled to school one day.
(a) Write down the number of boys who walked. ........................................................... (1) (b) Write down the number of girls who travelled by bus. ........................................................... (1) (c) 25 boys and 10 girls travelled by tram. Show this information on the bar chart. (1) (d) Find the ratio of the number of boys who cycled to the number of girls who cycled. Give your ratio in its simplest form. ........................................................... (2) (Total for question = 5 marks)
(d) Mathsville School has 875 students. of the students are girls.
(i) Work out
of 875
(ii) Work out the fraction of the students who are boys.
........................................................... 8% of the students were born in May. (iii) Work out 8% of 875 ........................................................... (5) (Total for Question is 8 marks)
Q16. In 1981, the population of India was 683 million. Between 1981 and 1991, the population of India increased by 163 million. (a) Express 163 million as a percentage of 683 million. Give your answer correct to 3 significant figures. ........................................................... % (2) In 2001, the population of India was 1028 million. Between 2001 and 2011, the population of India increased by 17.6% (b) Increase 1028 million by 17.6% Give your answer to the nearest million.
........................................................... million (3)
(b) A common factor of 42 and 45 is 1 Find the other common factor of 42 and 45
........................................................... (1) (Total for Question is 3 marks)
Q18. (a) Write 224 as a product of powers of its prime factors. Show your working clearly.
.......................................................... (3) (b) Write down 3 different factors of 224 with a sum between 99 and 110
.......................................................... (2) (Total for question = 5 marks)
Q19. A school has 840 pupils and 40 teachers. (a) Find the ratio of the number of pupils to the number of teachers. Give your ratio in the form n : 1 ........................................................... : 1 (2) In Year 11 at the school, the ratio of the number of pupils who study Chemistry to the number of pupils who study Physics is 3 : 2 (b) 105 pupils in Year 11 study Chemistry. Work out the number of pupils in Year 11 who study Physics. ........................................................... (2)
For the 105 pupils who study Chemistry, the ratio of the number of boys to the number of girls is 4 : 3 (c) Work out the number of girls in Year 11 who study Chemistry. ........................................................... (2) (Total for Question is 6 marks)
Q20. In a school, there are 320 girls and 500 boys. (a) Write down the ratio of the number of girls to the number of boys. Give your ratio in its simplest form. ........................................................... (2) In a different school, there is a total of 640 children. In this school, the ratio of the number of girls to the number of boys is 7 : 9 (b) How many boys are there in this school?
........................................................... (2) (Total for question = 4 marks)
Q21. Kim asked 40 people how many text messages they each sent on Monday. The table shows her results.
Kim is going to draw a pie chart for this information. (a) Work out the size of the angle on the pie chart for the sector representing 0 to 4 text messages. ...........................................................° (2)
(c) Calculate an estimate for the mean number of text messages sent.
........................................................... (4) (d) What percentage of these 40 people sent 20 or more text messages? ........................................................... % (2)
(Total for question = 9 marks)
Q22. Here are four discs. Each disc has a number on it.
These four discs are arranged to make the number 7235 (a) Arrange the four discs to make an even number.
(1) (b) Arrange the four discs to make the smallest possible number.
(1) (c) Arrange two of the discs to make a square number.
(1) (d) Arrange two of the discs to make a cube number.
(1) (e) Arrange two of the discs to make a prime number.
(1) (Total for question = 5 marks)
Q23. Here is a sequence of patterns made from small triangular tiles.
The table shows the number of tiles used to make each pattern.
(a) How many tiles are used to make (i) Pattern number 5
(ii) Pattern number 10 ........................................................... (2) A pattern in the sequence is made from 144 tiles. (b) Find the Pattern number for this pattern. ........................................................... (1)
(c) On the diagram below, shade
of Pattern number 3.
(1) Some tiles in Pattern number 4 are shaded.
(d) What fraction of Pattern number 4 is shaded? Give your fraction in its simplest form.
........................................................... (2) (Total for Question is 6 marks)
Q24.
P is a point on the circle, centre O. (a) Write down the mathematical name of the line OP.
(b) Write the number 4425 in words. ............................................................................................................................................. (1)
(c) Write down the value of the 5 in the number 6516
