Maths Paper A 2018

Q1. There are 20 rabbits in an enclosure.
       Two fifths of the rabbits escape into a field.
       How many rabbits remain in the enclosure?

Q2. There are 12 boys and 18 girls in a class.
       What proportion of the class is girls?
      (Any fraction should be written in its lowest term.)

Q3. Bob watches a film that lasts for 1 hour and 20 minutes.
        If the film finishes at 7.05p.m., at what time did Bob start watching the film?

Q4. What is 0.2 x 0.3?

Q5. What is half of 0.3?

Q6. How many thirds are there in 30?

Q7. Express 1/8 as a decimal, to 2 decimal places.

Q8. How many children are in Ash class?

Q9. There are 9 children whose names start with the letter A.
        No children have names starting with E, I or U.
        How many children’s names start with O?

Q10. Every consonant in the B-H category has at least one name starting with that letter.
         What is the maximum possible number of children whose names begin with the letter B?

Q11. The shape shows a circle with one quarter of it missing.

         An ant starts on the black dot and goes all the way round the perimeter of the shape.
         In total the ant walks for 107mm.
         If the circumference of the original whole circle was 10cm,
         How long is the distance marked ‘x’?

Q12. Diamond rings are sold individually in boxes that measure 3cm x 4cm x 5cm. How many such boxes can then fit                into a larger box measuring 20cm x 16 cm x 12cm?

Q13. A 2-litre jug is full of water. Tom pours 200ml into a cup to drink. Half a litre is then used to top up the dog’s                     water bowl. Finally, 350ml of the water from the jug is used to water a plant. How much water remains in the jug?

Q14. Amir, Jane and Hasan each have a bag of marbles.
         None of them know how many marbles are in any of the bags.
         The total number of marbles in all three bags is 20.
         Amir has twice as many marbles as Jane, who has three times as many as Hasan.
         How many marbles do each of the children have?

Q15. What is the difference between a fifth of 350 and 15% of 120? 

Q16. If the following five values are put in order of size, what is
         the median value?
         1/2 of 350, 20% of 100, 29 x 5, 800÷9, 79 + 79

Q17. Mark reads 5 pages of his book each day. He starts the book on Monday 1 st June and finishes the book, after
         reading his quota of pages, on Friday 26 th June. How many pages are in Mark’s book?

Q18. Jen makes up some maths operations:

        ‘&’ means to double a number and add 2.
        ‘$’ means to treble a number and add 3.

         So, &4 = 4 x 2 + 2 = 10 and $3 = 3 x 3 + 3 = 12.

         a) What is &2 + &10? Answer: ………………
         b) What is $(5 – 1)? Answer: ………………
         c) What is $4 x $3? Answer: ………………
         d) Jen takes a mystery number and applies the operation
         $. The answer is 21. What was her starting number?

Q19. The rectangle measures 20cm x 6cm.

         If the rectangle is cut in half through its vertical line of
         symmetry, what is the area of one of the smaller
         rectangles?

Q20. The pie-chart shows how Dan spends his pocket money each month.

            If Dan receives £40 pocket money per month, how much does he spend on books?

Q21.  Shape 1      Shape 2        Shape 3       Shape 4

            The pattern of shapes is made from circles and lines. How many lines will be in the 99 th shape?

Q22. 

          If the four dots represent the four corners of a parallelogram, what are the co-ordinates of the central point of the              parallelogram?

Q23. There are 690 children in a school. If there are 14 more girls than boys, how many girls attend the school?

Q24. How much needs to be added to 1.037, to make 2?

Q25. The chart shows a conversion rate for pounds (£) and foreign currencies, ₡, ₱ and ₭.

        a) How many ₡ can I buy with £16?

        b) How many more ₱ than ₡ can I buy with £8?

        c) How many ₭’s can I buy with ₱20?

Q26. There are N flowers in a garden.
          The number N consists of three digits.
          There are no odd numbered digits in N.
          N is divisible by 10 and 3. N lies between 800 and 900.
          What is the number N?

Q27. You are advised that it is possible to use the following information in bold to help you calculate the answers to this            question.

         849 x 224 = 190176
         

        a) What is 84.9 x 2.24?

        b) What is 190.176 ÷ 2240?

        c) What is 849 x 448?

        d) What is 1000 x 224 – 151 x 224?

Q28.             

               £2.50                     £3.20                 £2.75

              The toys above are priced as shown.

              Mrs. Brown buys a present from the three choices for each of her seven grandchildren.
              She buys at least one of each toy and no more than three of the same toy.
              Mrs. Brown receives 60p in change from a £20 note after buying the seven toys.   

              How many teddies does Mrs. Brown purchase?

Q29. Which quadrilateral can be made from two isosceles triangles of different areas?

Q30. Multiply together all the prime numbers between 0 and 10 and then subtract all the square numbers between 0                and 20.