SASMO 2017 Primary 5 (Grade 5) Contest

Question 1

Find $2017+77+555+983+23+345$.

1. 3900
2. 4000
3. 4100
4. 5000
5. None of the above

Question 2

What are the last two digits of $888\times999$?

1. 1
2. 11
3. 12
4. 22
5. None of the above

Question 3

If the five-digit number $543A1$ is divisible by 9, find digit $A$.

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

Question 4

Find the greatest three-digit number divisible by both 4 and 18.

1. 990
2. 954
3. 936
4. 918
5. None of the above

Question 5

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

1. 100
2. 102
3. 112
4. 124
5. None of the above

Question 6

How many ways are there to cut out the word SASMO from the paper shown, with the word remaining in one connected piece as in the example?

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

Question 7

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

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

Question 8

Four nested squares are formed by repeatedly joining the midpoints of the preceding square's sides. What is the ratio of the smallest square's area to the largest square's area?

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

Question 9

Grace and Paul start a marathon together. Grace runs at 6 km/h and Paul at 8 km/h. After how many minutes is Paul 5 km ahead?

1. 60 minutes
2. 90 minutes
3. 120 minutes
4. 150 minutes
5. None of the above

Question 10

Jane puts 120 candies into 17 bags, with 8 in each big bag and 6 in each small bag. How many big bags did she use?

1. 10
2. 11
3. 12
4. 13
5. None of the above

Question 11

In the sequence $X,\_,\_,\_,16,\_,\_,68,\ldots$, each number is the sum of its two preceding numbers. Find $X$.

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

Question 12

A pie chart shows students going to school by car 84, bus 175, train 110, walking 25 and cycling 56. Find angle $\alpha$ of the Train sector.

1. 66°
2. 88°
3. 90°
4. 99°
5. None of the above

Question 13

A square paper is folded as shown. Three differently shaped holes are punched in the final step. Which option shows the holes after unfolding?

1. Pattern A
2. Pattern B
3. Pattern C
4. Pattern D
5. Pattern E

Question 14

What is the last digit of the product of 2017 factors 2 followed by 2017 factors 3?

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

Question 15

Amy and four friends own cats Max, Oliver, Charlie, Kitty and Smokey. Three cats are black, two white; Oliver and Smokey share a colour; Charlie and Kitty have different colours. Three are male, two female; Max and Charlie share a gender; Kitty and Smokey have different genders. If Amy's cat is female and white, what is its name?

1. Max
2. Oliver
3. Charlie
4. Kitty
5. Smokey

Question 16

The product of 47 whole numbers is 47. What is their sum?

Question 17

The dot pattern shows Figures 1, 2 and 3. Which figure contains 2017 dots?

Question 18

Find the denominator, in simplest form, of $2+\frac{1}{0+\frac{1}{1+\frac17}}$.

Question 19

Each number in a cell indicates how many surrounding cells must be shaded. How many cells in the shown grid will be shaded?

Question 20

For Event A, a hall had 15 equal rows. For Event B, 3 rows were removed and 5 seats added to each remaining row, keeping the same total capacity. How many seats are in the hall?