Reasoning it out

16 questionswork in pencil

name   date

  1. G21-A272 marks

    The table shows the boys and girls in four Primary Four classes, with some cells blank: 4A has 22 boys and 18 girls; 4B has 25 girls and 41 students in total; 4C has 13 boys; 4D has 20 girls. There are as many students in Primary 4A as in Primary 4C. How many girls are there in Primary 4C?

      Class | Boys | Girls | Total
      ------+------+-------+------
       4A   |  22  |  18   |
       4B   |      |  25   |  41
       4C   |  13  |       |
       4D   |      |  20   |

    answer

  2. G21-A282 marks

    Using the same table, the four classes have a total of 160 students. How many students are from the class that has the least number of students?

      4A = 22 + 18 = 40      4B = 41 (given)
      4C = 40 (same as 4A)   4D = ?
      all four classes together = 160

    answer

  3. G21-B14 marks

    The mass of a container filled with 2 identical ping pong balls was 80 g. The mass of the same container filled with 3 identical marbles was 220 g. The mass of each marble was 3 times the mass of each ping pong ball. What was the mass of 1 ping pong ball?

    answer

  4. S23-A242 marks

    Star Bookshop is having a promotion: notebooks are $5 each, and for every 2 notebooks bought the third notebook is free (buy 3 for the price of 2). Karen bought 25 notebooks. What is the least amount of money she has spent in total?

    answer

  5. S23-A342 marks

    Mr Tan has less than 40 sweets for a group of pupils. If he gives his pupils 4 sweets each, he will be short of 1 sweet. If he gives each pupil 5 sweets each, he will be short of 11 sweets. How many pupils does he have in the group?

    answer

  6. S23-A392 marks

    In a General Knowledge quiz, 5 marks were awarded for a correct answer but 2 marks were deducted for an incorrect answer. Mei Ling answered all 50 questions and was awarded a total of 166 marks. How many questions did she answer correctly?

    answer

  7. S23-A62 marks

    Ben was standing at Point X. He turned 225° anti-clockwise and then made another 1/4-turn in the clockwise direction. He ended up facing the Bus Bay. Which location was Ben facing at first?

                         Library                     N
                            |                        ^
         General Office     |     Bus Bay            |
                     \      |      /
       Computer Lab ------- X ------- Field
                     /      |      \
         Dental Clinic      |     Basketball Court
                            |
                          Hall

    (1) Hall   (2) Field   (3) Library   (4) Computer Lab

    answer (1) (2) (3) (4)

  8. S23-A92 marks

    The table shows the favourite colours of 108 pupils in Primary Four. Some numbers have been blotted out by ink stains. There were twice as many pupils who chose green than yellow. There is a total of 38 pupils who like 2 of the colours. Which of the following options shows the two colours?

      Colour | Number of Pupils
      -------+-----------------
      Green  |  ### stain ###
      Yellow |  ### stain ###
      Blue   |  22
      Red    |  38
    
      108 pupils altogether · green = 2 × yellow

    (1) Blue and Green   (2) Yellow and Blue   (3) Green and Red   (4) Red and Yellow

    answer (1) (2) (3) (4)

  9. S24-B14 marks

    A stall had a promotion: buy 1 muffin for $3 each, or buy 4 muffins at $11. Mandy wanted to buy 50 muffins. What was the least amount of money Mandy had to pay for all the 50 muffins?

      Buy 1 muffin for $3 each
      Buy 4 muffins at $11

    answer

  10. S24-B74 marks

    David paid $7374 for 3 laptops and 2 headphones. Kumar paid $5002 more than David for 5 laptops and 4 headphones. What was the cost of 1 headphone?

    answer

  11. S24-C15 marks

    Mr Lee had an apple, a papaya and a honeydew. He weighed them in pairs: apple + papaya = 730 g, apple + honeydew = 1960 g, honeydew + papaya = 2470 g. What was the mass of the honeydew, in grams?

      Setup 1   apple + papaya      =  730 g
      Setup 2   apple + honeydew    = 1960 g
      Setup 3   honeydew + papaya   = 2470 g

    answer

  12. M26-A102 marks

    At a bakery, muffins are sold at the prices shown. Nick wants to order 57 muffins for a birthday party. What is the least amount of money he will need to pay for the muffins?

      +-------------------------------------------------+
      |                Muffins on Sale!                 |
      |                                                 |
      |   1 for $1.40    6 for $5.70    10 for $8.90    |
      +-------------------------------------------------+

    (1) $34.20   (2) $51.60   (3) $79.80   (4) $94.70

    answer (1) (2) (3) (4)

  13. M26-A152 marks

    Among Jim and two other friends, John is the lightest and Jack is the heaviest. The table below shows the total weight of two boys weighing themselves each time. Find Jim's weight.

      1st reading | 56 kg
      2nd reading | 70 kg
      3rd reading | 54 kg
    
      John < Jim < Jack

    (1) 36 kg   (2) 34 kg   (3) 22 kg   (4) 20 kg

    answer (1) (2) (3) (4)

  14. M26-B14 marks

    The table shows the number of customers at a restaurant over 4 days; part of it was covered by a stain. The number of customers on Day 3 is equal to the total number of customers on Day 1 and Day 2. The total number of customers on all 4 days is 240 when rounded to the nearest ten. What is the greatest possible number of customers on Day 4?

      Day | Number of customers
      ----+--------------------
       1  |  30
       2  |  45
       3  |  ##### stain #####
       4  |  ##### stain #####

    answer

  15. M26-B74 marks

    At a bento shop in Tokyo, three friends ordered: Hana bought 4 bento sets and 2 bottles of tea for $35. Ken bought 2 bento sets, 3 mochi cakes and 1 bottle of tea for $35.50. Miki bought 2 bento sets, 1 mochi cake and 2 bottles of tea for $27.50. 2 mochi cakes cost the same as 3 bottles of tea. What is the cost of 1 bento set?

    answer

  16. M26-C65 marks

    In a restaurant, a rectangular table can seat 10 people and a round table can seat 5 people. During lunch time, all the tables in the restaurant were occupied. The number of each type of table in the restaurant is more than 10 and less than 15. If there were 205 customers, how many rectangular and round tables altogether were there for the 205 customers?

    answer