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SASMO 2016 Primary 4 (Grade 4) Contest

Question 1

Find the sum $16+15+14+\cdots+2+1+0+1+2+\cdots+15+16$.

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  1. 95
  2. 122
  3. 136
  4. 272
  5. None of the above

Question 2

If the day before yesterday was Sunday, how many days are there from today until Saturday? (For example, Monday to Wednesday is counted as two days.)

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  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 3

It is given that $3^3=3\times3\times3=27$. What is the last digit of $2^7$?

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  1. 2
  2. 4
  3. 6
  4. 8
  5. 0

Question 4

A 21-metre road is decorated with trees planted every 3.5 metres, including both ends. How many trees are planted?

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  1. 4
  2. 5
  3. 6
  4. 7
  5. None of the above

Question 5

Find the next number in the sequence $4,9,19,39,79,\ldots$.

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  1. 99
  2. 119
  3. 134
  4. 139
  5. 159

Question 6

It takes 20 minutes to saw a piece of wood into 5 pieces. Each cut is made as shown. How long does it take to saw the wood into 10 pieces?

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  1. 40 minutes
  2. 42 minutes
  3. 44 minutes
  4. 45 minutes
  5. None of the above

Question 7

Nancy and Vivian each drew a rectangle. Nancy's rectangle has perimeter 88 cm. Vivian's rectangle is 6 cm shorter and 10 cm wider than Nancy's. What is Vivian's perimeter?

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  1. 82 cm
  2. 92 cm
  3. 96 cm
  4. 98 cm
  5. 108 cm

Question 8

In a magic show, a magician uses 3 double-sided cards. Each card has a mathematical symbol on one side and a number on the other. The two arrangements are shown. What number is on the other side of the card with the symbol '+'?

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  1. 0
  2. 1
  3. 9
  4. 4
  5. None of the above

Question 9

Tom makes a rectangle with gumdrops and toothpicks. He then makes another rectangle using 44 gumdrops. The long side has twice as many gumdrops as the short side. How many gumdrops are on the short side?

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  1. 6
  2. 7
  3. 8
  4. 9
  5. None of the above

Question 10

A large cube is formed by 27 small cubes and its outer surface is painted red. How many small cubes have exactly one face painted?

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  1. 6
  2. 7
  3. 8
  4. 9
  5. None of the above

Question 11

An odd number between 200 and 241 is divisible by both 3 and 7. What is it?

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  1. 210
  2. 240
  3. 231
  4. 233
  5. 235

Question 12

How many squares are there in the diagram?

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  1. 14
  2. 15
  3. 16
  4. 17
  5. 18

Question 13

Find $P$ in the sequence $21,51,81,12,42,P$.

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  1. 36
  2. 53
  3. 63
  4. 72
  5. None of the above

Question 14

The sum of the numbers in each diagonal and column in the diagram is 38. What is the value of $x$?

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  1. 2
  2. 6
  3. 11
  4. 14
  5. 19

Question 15

Which of the following cubes cannot be formed by folding the net on the right?

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

Question 16

Four chickens can lay 4 eggs in 4 days. How many chickens are needed to get 100 eggs in 100 days?

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Question 17

In the grid figure, find the area of the shaded region that spells SASMO. Each small square has side 1 cm.

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Question 18

Susan, Lina, Michelle and Winnie compare their weights. Susan says she is the lightest. Lina says she is not as light as Susan but someone is heavier than her. Michelle says she is not as heavy as Lina but someone is lighter than her. Winnie says she is the heaviest. If exactly one of them is lying, rank them from lightest to heaviest.

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Question 19

A soccer team consists of strikers, defenders and midfielders. There are 19 defenders, 9 strikers, and $\frac{3}{7}$ of the team are midfielders. How many players are on the team?

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Question 20

The bar chart shows cars sold in Town A in the first half of 2015. All horizontal lines are equally spaced. The highest and lowest months differ by 60 cars. How many cars were sold in June?

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