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SASMO 2018 Primary 4 (Grade 4) Contest

Question 1

Find $16+15+14+13+12+11-0-11-12-13-14-15+16$.

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  1. 0
  2. 11
  3. 22
  4. 33
  5. None of the above

Question 2

$2^5$ means 2 multiplied by itself 5 times. What is $3^4$?

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  1. 7
  2. 12
  3. 27
  4. 81
  5. None of the above

Question 3

Tom packs 8 kg of sugar into 900-gram packets. How much remains unpacked?

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  1. 100 grams
  2. 200 grams
  3. 300 grams
  4. 400 grams
  5. None of the above

Question 4

Find the next fraction in $\frac13,\frac12,\frac59,\frac7{12},\frac35,\ldots$.

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  1. $\frac57$
  2. $\frac5{18}$
  3. $\frac{11}{18}$
  4. $\frac{17}{18}$
  5. None of the above

Question 5

How many cubes must be added to Figure 1 to obtain Figure 2?

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  1. 11
  2. 24
  3. 25
  4. 26
  5. 36

Question 6

The figure consists of 8 identical small rectangles, each of length 8 cm. Find its perimeter.

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  1. 56
  2. 64
  3. 72
  4. 80
  5. None of the above

Question 7

A “Factor day” has month number times day equal to the last two digits of the year. How many Factor days occur from January 1, 2016 through December 31, 2018?

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  1. 5
  2. 6
  3. 7
  4. 10
  5. 8

Question 8

Let $a$ and $b$ be consecutive whole numbers. Which is always true about $a\times b$?

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  1. Bigger than 5
  2. Divisible by 3
  3. Divisible by 4
  4. Odd number
  5. Even number

Question 9

Which digit replaces $X$ so that $XX4XX$ is divisible by 9?

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  1. 5
  2. 6
  3. 7
  4. 8
  5. 9

Question 10

A pack has 5 blue gummy bears for every 6 green, 2 green for every 3 yellow, and 3 red for every 4 blue. Which statement is true?

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  1. Red equals yellow
  2. Blue is greater than yellow
  3. Yellow is greater than red
  4. Red is greater than green
  5. None of the above

Question 11

Three Fridays in a month fall on even-numbered dates. What day of the week is the 14th?

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  1. Monday
  2. Tuesday
  3. Wednesday
  4. Thursday
  5. None of the above

Question 12

Chok has 3 legs and Rogku has 5. There are 30 animals with 128 legs. How many Rogkus are there?

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  1. 17
  2. 18
  3. 19
  4. 20
  5. None of the above

Question 13

Claw machines A and B contain 31 and 43 toys. Equal numbers are won from each. The remainder in A is half the remainder in B. How many toys remain altogether?

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  1. 36
  2. 37
  3. 38
  4. 39
  5. None of the above

Question 14

A one-stroke drawing is made without lifting the pen or retracing a line. Which figure cannot be drawn in one stroke?

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  1. Figure A
  2. Figure B
  3. Figure C
  4. Figure D
  5. None of the above

Question 15

Amy, Bob and Chris are either truthtellers or liars. Amy says, “All of us are liars.” Bob says, “Exactly one of us is a truthteller.” Which tribe does each belong to?

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  1. Chris true, Bob liar, Amy true
  2. Chris true, Bob liar, Amy liar
  3. Chris liar, Bob liar, Amy true
  4. Chris liar, Bob true, Amy liar
  5. None of the above

Question 17

Heidi has 3 different bears and wants to place them in one row. In how many ways can she arrange them?

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Question 18

A bar chart shows table counts in four classrooms. The greatest and smallest counts total 35. All tables are redistributed equally. How many tables does each room receive?

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Question 19

Two rectangles overlap. Their dimensions are 5 cm × 8 cm and 7 cm × 9 cm. Find the enclosed area.

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Question 20

Milk is sold in boxes of 6 bottles for \$7. One bottle is free for every 3 boxes, and 4 empty bottles can be exchanged for 1 full bottle. What is the greatest number obtainable with \$28?

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