SASMO 2017 Primary 4 (Grade 4) Contest

Question 1

Find the missing term in $2,5,10,\_\_,26,37$.

1. 13
2. 15
3. 17
4. 19
5. None of the above

Question 2

If each $A$ represents the same number and $A\times A\times A=27$, find $A+A+A$.

1. 3
2. 6
3. 9
4. 12
5. 27

Question 3

April 14, 2017 was Friday. What day of the week was May 1, 2017?

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

Question 4

A candy shop offers “Buy Two, Get One Free”. Each candy costs 50 cents. Joshua spends \$3.50. How many candies does he get?

1. 7
2. 8
3. 9
4. 10
5. None of the above

Question 5

The figure is formed from identical squares of side length 4. What is its perimeter?

1. 28
2. 96
3. 108
4. 128
5. None of the above

Question 6

Calculate $4\frac13+3\frac34+2\frac25+8\frac35+7\frac14+6\frac23$.

1. 30
2. 31
3. 32
4. 33
5. None of the above

Question 7

Mandy uses cards 1, 2, 3 and 4 to form four-digit numbers. If 3 must always be in the tens place, how many numbers can she form?

1. 6
2. 8
3. 12
4. 24
5. None of the above

Question 8

Toby wrote the numbers from 1 to 100. Which digit appeared least often?

1. 0
2. 1
3. 2
4. 3
5. 4

Question 9

$ABCD$ is a square. $E$ and $F$ are the midpoints of $AD$ and $BC$. If the shaded area is 10 cm², what is the area of square $ABCD$?

1. 30 cm²
2. 35 cm²
3. 40 cm²
4. 45 cm²
5. None of the above

Question 10

If the five-digit number $5435A$ is divisible by 9, find $A$.

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

Question 11

Christopher was born in 1946 and his daughter Jacqueline in 1981. In what year was Christopher exactly six times Jacqueline's age?

1. 1986
2. 1987
3. 1988
4. 1989
5. None of the above

Question 12

A pack has 36 M&M's: 12 red, 6 yellow and 18 brown. What is the least number drawn blindly to ensure at least 10 of one colour?

1. 10
2. 19
3. 25
4. 30
5. None of the above

Question 13

Fill the grid using exactly four shapes (circle, triangle, square and pentagon) and numbers 1–4, with no repeated shape or number in any row or column. Which option replaces the question mark?

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

Question 14

At the same rate, 5 identical machines produce 5 bottles in 5 minutes. How many machines are needed to produce 60 bottles in 1 hour?

1. 5
2. 12
3. 60
4. 120
5. None of the above

Question 15

Mrs Fair has 36 cookies and wants to pack them into more than one bag, with the same number in each bag and no bag containing only one cookie. How many different ways are there?

1. 6
2. 7
3. 8
4. 9
5. 10

Question 16

The bar chart shows Philip's savings from January to May. Which month equals $\frac15$ of his total savings? Shade the month number using four digits.

Question 17

The product of 43 whole numbers is 43. What is their sum?

Question 18

How many triangles are there in the figure? Shade your answer using four digits.

Question 19

Five cubes are glued to form the solid shown. If the solid is painted blue, how many cube faces are painted?

Question 20

Nancy's watch gains 3 minutes per hour and is reset at 7 am. Fiona's gains 4 minutes per hour and is reset at 8 am. What is the correct time when both watches show the same time? Write 10:25 am as 1025.