Tài liệu Toán học quốc tế SASMO 2019 Lớp 3 - GEP Practice

 SASMO 2019, Primary 3 (Grade 3) Contest Questions 
 Primary 3 (Grade 3) – GEP Practice 
 2019 
 Contest Problems with Full Solutions 
Authors: 
 Henry Ong, BSc, MBA, CMA 
 Merlan Nagidulin, BSc 
© Singapore International Mastery Contests Centre (SIMCC) 
All Rights Reserved 
No part of this work may be reproduced or transmitted by any means, electronic or mechanical, including 
photocopying and recording, or by any information or retrieval system, without the prior permission of the 
publisher. 
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 SASMO 2019, Primary 3 (Grade 3) Contest Questions 
Question 4 
Find the top view of the figure on the right. 
A. B. C. 
D. E. 
Question 5 
Mitchell, Jason, Tom and Mark race across a field. Mark finishes one place ahead of 
Jason. Mitchell finishes one place behind the winner. Who is the winner of the race? 
 A. Mitchell 
 B. Jason 
 C. Tom 
 D. Mark 
 E. Jason and Mark 
Question 6 
In a toy store, cars are available in 5 different colours: blue, white, yellow, black and 
red. A car has either 2 or 4 doors. How many different versions of the car are 
available? 
 A. 10 
 B. 20 
 C. 8 
 D. 9 
 E. None of the above 
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 SASMO 2019, Primary 3 (Grade 3) Contest Questions 
Question 9 
Study the picture below. 
How many balloons are needed to carry the sheep, cat and dog? 
(All balloons are visible in the picture and the same size. None of the balloons are 
hidden.) 
 A. 8 
 B. 16 
 C. 7 
 D. 9 
 E. None of the above 
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 SASMO 2019, Primary 3 (Grade 3) Contest Questions 
Question 11 
Find the missing shape in the diagram below. 
 ? 
 A. B. C. D. E. 
 None of them 
Question 12 
All the figures below are made up of identical squares. The area of the figure with 
the largest area is 48 cm2. What is the perimeter of the figure with the largest 
perimeter? 
 A. 46 cm 
 B. 96 cm 
 C. 32 cm 
 D. 48 cm 
 E. None of the above 
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 SASMO 2019, Primary 3 (Grade 3) Contest Questions 
Question 15 
Study the picture below. 
Which toy is the heaviest? 
 A. Train 
 B. Submarine 
 C. Ship 
 D. Car 
 E. None of the above 
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 SASMO 2019, Primary 3 (Grade 3) Contest Questions 
Question 18 
The picture graph below shows the number of muffins 5 siblings have at first. 
 Anastacia 
 Braiden 
 Clarke 
 Darla 
 Eddie 
 Each stands for 6 muffins. 
Their mom takes all their muffins and then distributes equally among Anastacia, 
Braiden, Darla and Eddie. How many more muffins does Eddie have now than 
before? 
Question 19 
Andrew, Kim and Shaun have 256 stamps. Shaun has twice as many stamps as Kim. 
Andrew has 24 less stamps than Shaun. How many stamps does Andrew have? 
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 SASMO 2019, Primary 3 (Grade 3) Contest Questions 
Question 23 
A book has 130 pages numbered from 1 to 130. How many digit “1” are there in all 
the page numbers of the book? 
Question 24 
Picture 2 shows the completed version of the puzzle in Picture 1. 
 x 2 = 4 x 2 = 8
 x x + x x +
 6 x 2 = 6 x 2 = 12
 = = = = = =
 _
 24 _ = 24 4 = 20
 Picture 1 Picture 2
Complete the puzzle in Picture 3 and find the missing number “?”. 
 x 2 =
 x x +
 7 x =
 = = =
 _
 ? = 53
 Picture 3
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 SASMO 2020, Primary 3 (Grade 3) Contest Solutions 
 Solutions to SASMO 2019 Primary 3 (Grade 3) 
Question 1 
Group the numbers and calculate. 
 (7 − 7) + (16 − 6) + (34 − 4) + (45 − 15) + 50 = 0 + 10 + 30 + 30 + 50 = 
Answer: (B) 
Question 2 
The pattern is as follows: 
 1st circle 4th circle 7th circle 
 1 black & 1 white circles 2 black & 2 white circles 3 black & 3 white circles 
 2nd circle 5th circle 8th circle 
 10 black circles 8 black circles 6 black circles 
 3rd circle 6th circle 9th circle 
 2 white circles 3 white circles 4 white circles 
Hence the 10th circle must have 4 black & 4 white circles. 
Answer: (D) 
Question 3 
The smallest possible sum that can be obtained is 1 + 1 + 1 = 3 and the largest sum 
is 6 + 6 + 6 = 18. Thus, it is impossible to get the sum 22. 
Answer: (D) 
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 SASMO 2020, Primary 3 (Grade 3) Contest Solutions 
Question 7 
The circled spots are different from the mirror image of the 
picture on the right. 
 A B C 
 D E 
Answer: (A) 
Question 8 
Using the divisibility test for 3, the sum of the digits 3 + 2 + 9 + B = 14 + B is 
divisible by 3. Since B is a single digit, B = 1, 4 and 7. But since B is even, B = 4. 
Answer: (C) 
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 SASMO 2020, Primary 3 (Grade 3) Contest Solutions 
Question 12 
Draw a table and count the number of squares and sides in each figure. 
 Figure No. of squares The largest area No. of sides The largest 
 perimeter 
 1 10 16 
 2 12 √ 16 
 3 8 24 √ 
 4 11 16 
Figure 2 has the largest area as it is made up of the greatest number of squares. 
Area of each identical square = 48 cm2 ÷ 12 = 4 cm2 
Length of each identical square = 2 cm 
Figure 3 has the largest perimeter because it has the most number of sides (24) 
compared to the other three figures (16). 
Perimeter of Figure 3 = 24 x 2 cm = 48 cm 
Answer: (D) 
Question 13 
The following table shows the numbers pages read in the first 2 weeks. 
 Monday Tuesday Wednesday Thursday Friday Saturday Sunday 
 102 100 
 98 96 94 92 90 88 86 
 84 82 80 78 76 74 
Notice from the table above that Diana read 14 pages less every week. 
Next Saturday, Diana read 102 − 14 = 88 and the following Saturday, she read 88 −
14 = 74. 
She read 74 − 14 − 14 − 14 − 14 − 14 = 4 pages on Saturday. 
Answer: (E) 
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 SASMO 2020, Primary 3 (Grade 3) Contest Solutions 
Question 16 
 Type of 
 1-part 2-part 3-part 4-part 
Rectangle 
 Example 
 or 
 Quantity 16 10 1 3 
Total = 16 + 10 + 1 + 3 = rectangles 
Answer: 30 
Question 17 
The operator ⊛ performs the following: 
Step 1: It multiples the number on the left by 2. 
Step 2: It multiplies the difference between the two numbers by 2. Then product is 
placed next to the number obtained in step 1 
We can see that the operator ⊛ satisfies all the equations in the question. 
Therefore, 6 ⊛ 12 = (2 × 6)(2 × (12 − 6)) = . 
Answer: 1212 
Question 18 
Initially, the 5 siblings had 24 × 6 = 144 muffins altogether. 
Then, their mom distributed 144 ÷ 4 = 36 muffins to 4 of them and Eddie has 36 
muffins now. 
From the picture graph, Eddie had 4 × 6 = 24 muffins at first. 
Eddie has 36 − 24 = more muffins now than before. 
Answer: 12 
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