Đề thi Toán quốc tế SASMO LỚP 5

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Question 3 The diagram shows a quadrant OABof a circle with centre 0. OPQRis a rectangle.

Given that PR = 7 cm, find the length of OA.

Question 2 A textbook is opened at random. To what pages is it opened if the product of the

facing pages is 600?

Question 1 If n is a whole number, for what values of n Is 24 also a whole number? n

SASMO 2014 Primary 5 (Grade 5) Contest

SASMO 2014, Primary s (Grade 5) Contest

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Question 6 Find the next term of the following sequence: 2, 3, 4, 10, 38, ...

Question 5 A shop sells sweets where every 3 sweet wrappers can be exchanged for one

more sweet. Navin has enough money to buy only 29 sweets. What is the biggest

number of sweets that he can get from the shop?

Question 4

Find an even number between 300 and 400 that is divisible by 5 and by 7.

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Question 9 Find the value of

( 1 - ~) x ( 1 - ~) x ( 1- ~) X ..• x ( 1 - 20\4)

Question 8 A clock takes 9 seconds to make 4 chimes. Assuming that the rate of chiming is

constant, and the duration of each chime is negligible, how long does the clock

take to make 3 chimes?

Question 7

The percentage passes in an exam for two classes are 80% and 60%. The

numbers of students in the two classes are 20 and 30 respectively. Find the

overall percentage pass for the two classes.

SASMO 2014, Primary 5 (Grade 5) Contest

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Question 12 A farmer wants to find out the number of sheep and ducks that he has. He

counted a total of 40 heads and 124 legs. How many sheep and how many ducks

does he have?

Question 11

A farmer's chickens produced 4028 eggs one day. Was he able to pack all the

eggs in full cartons of one dozen eggs each?

Question 10 A frog fell into a drain that was SO cm deep. After one hour, lt mastered enough

energy to make a jump of 6 cm but It then slid down 4 cm. If It continued in this

manner after every one hour, how many hours will it take to get out of the drain?

SASMO 2014, Primary 5 (Grade 5) Contest

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Question 15 Given that ax b = 2014, and a and bare whole numbers such that e « b, how

many possible pairs (a, b) are there?

Question 14 The diagram shows a rectangle with its two diagonals. What percentage of the

rectangle is shaded?

Question 13 Jaime puts some blue and red cubes in a box. The ratio of the number of blue

cubes to the number of red cubes Is 2 : 1. She adds 12 more red cubes in the

box and the ratio becomes 4 : 5. How many blue cubes are there In the box?

SASMO 2014, Primary 5 (Grade 5) Contest

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Question 18

What is the least number of cuts required to cut 12 identical sausages so that

they can be shared equally among 20 people?

Figure 4 Figure 3 Figure 2 Rgure 1

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Question 17

Billy uses identical square tiles to make the following figures. If he continues

using the same pattern, in which figure will there be 6044 tiles?

Question 16 Amy had 3 times as much money as Betty. After they had spent $60 each, Amy

had 4 times as much money as Betty. How much money did Amy have at first?

SASMO 2014, Primary 5 (Grade 5) Contest