Đề thi Toán học quốc tế SASMO 2014 Vòng 1 Lớp 3 - Problems

 SASMO 2014 Round 1 Primary 3 Problems
 Section A [1 mark for each question] 
 1. Jane is 9 years old and John is 5 years old. How old will John be when Jane is 15
 years old?
 2. A textbook is opened at random. To what pages is it opened if the product of the
 facing pages is 110?
 3. Find the number B such that the following statement is true: 8 B = 3 9 + 5 9.
 4. It is given that a  b = a b + a b. For example, 2  3 = 2 3 + 2 3 = 5. Find the
 value of 4  3 3  4.
 5. Jane has a rope of length 23 cm. She wants to cut the rope so that she can form the
 biggest possible square, where the length of each side, in cm, is a whole number.
 What is the length of the rope that she must cut to form the square?
 6. Find the missing term in the following sequence: 1, 2, 6, 24, _____, 720.
 7. On National Day, 39 soldiers lined up in a straight row on opposite sides of Stadium
 Street to welcome Prime Minister Lee. A soldier stands on each end of Stadium
 Street. The distance between two adjacent soldiers on either side was 20 m. The
 soldiers on one side were arranged such that each soldier filled the gap between two
 other soldiers on the opposite side. How long was Stadium Street?
 8. A shop sells sweets where every 3 sweet wrappers can be exchanged for one more
 sweet. Sharon has enough money to buy only 11 sweets. What is the biggest number
 of sweets that she can get from the shop?
 9. At a workshop, there are 10 participants. Each of them shakes hand once with one
 another. How many handshakes are there?
 10. Ali uses identical square tiles to make the following figures. If he continues using the
 same pattern, how many tiles will there be in the 15th figure?
11. What is the least number of cuts required to cut 16 identical sausages so that they can
 be shared equally among 24 people?
12. A vending machine accepts 10¢ coins, 20¢ coins, 50¢ coins and $1 coins only. Ivy
 wants to buy a can of drinks that costs $1.60. She has eight 10¢ coins, three 20¢ coins,
 two 50¢ coins and one $1 coin. If she wants to get rid of as many coins as possible,
 what is the combination of coins that she should put inside the vending machine?
 13. The total cost of a pen and a pencil is $2.90. The pen costs 60¢ more than the pencil.
 What much does the pen cost?
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