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SASMO 2016 Primary 6 (Grade 6) Contest

Question 1

Suppose it is now December. What month will it be 100 calendar months from now?

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  1. February
  2. April
  3. June
  4. August
  5. October

Question 2

Six machines produce 15 items every 30 minutes. How many additional machines are needed to produce 70 items every hour?

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  1. 8
  2. 10
  3. 12
  4. 14
  5. None of the above

Question 3

How many of 17 whole numbers must be odd if their product is odd?

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  1. 0
  2. 1
  3. 2
  4. 16
  5. 17

Question 4

Four two-sided cards are shown before and after some cards are flipped and rearranged. Each card has a mathematical symbol on one side and a number on the other. How many cards have an even number on one side?

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

Question 5

Find the greatest value of $M$ if $201M6$ is divisible by 9.

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  1. 0
  2. 4
  3. 5
  4. 8
  5. 9

Question 6

Bianca paid \$29 for 4 muffins and 3 pies. Jordan paid \$31 for 5 muffins and 2 pies. What was the price of one muffin?

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  1. \$4
  2. \$5
  3. \$6
  4. \$7
  5. \$8

Question 7

For whole numbers $a,b$, define $a\star b=a\times a+b$. Given $6\star7=5\star A$, find $A$.

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  1. 18
  2. 20
  3. 22
  4. 24
  5. None of the above

Question 8

Daniel repeatedly stacks all pieces of paper together and cuts the pile in half until he has more than 1000 pieces. What is the least number of cuts he makes?

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  1. 499
  2. 999
  3. 1000
  4. 1023
  5. None of the above

Question 9

Ten players play a chess tournament in which every pair plays once. A win gives 2 points, a draw 1 point to each player and a loss 0. What is the sum of all players' scores?

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  1. 90
  2. 100
  3. 110
  4. 120
  5. None of the above

Question 10

How many squares are there in the figure?

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  1. 15
  2. 16
  3. 17
  4. 13
  5. None of the above

Question 11

The year 2016 is divisible by 1, 2, 3, 4, 6, 7, 8 and 9. What is the next year with the same properties?

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  1. 72576
  2. 4032
  3. 3024
  4. 2520
  5. None of the above

Question 12

Find the next fraction in the sequence $\frac34,\frac12,\frac5{12},\frac38,\frac7{20},\ldots$.

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  1. $\frac5{12}$
  2. $\frac13$
  3. $\frac9{24}$
  4. $\frac9{28}$
  5. None of the above

Question 13

How many times do the hour hand and minute hand form a $90^\circ$ angle from 2 pm to 10 pm?

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  1. 6
  2. 8
  3. 10
  4. 12
  5. 14

Question 14

Lisa writes the numbers from 1 to 100, but writes every digit 7 as 1. In total, how many digit 1s does she write?

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  1. 20
  2. 31
  3. 40
  4. 41
  5. 50

Question 15

Choose the solid formed when the second cube arrangement is rotated in the same way as the first arrangement shown in the source diagram.

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

Question 16

In the grid shown, what percentage of the grid is shaded?

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Question 17

Find the pattern and solve for $x$: $211\mapsto6$, $303\mapsto4$, $333\mapsto1$, $404\mapsto2$, $900\mapsto x$.

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Question 18

Amy had 45 fewer marbles than Cheryl. $\frac59$ of Amy's marbles and $\frac23$ of Cheryl's marbles were given away. Cheryl's remainder is twice Amy's remainder. How many marbles did Cheryl have at first?

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Question 19

The bar chart shows cars sold in Town A in 2015. The average sold per month is 20. How many more cars were sold in the second half of the year than in the first half?

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Question 20

How many different four-digit numbers can be formed using 0, 2, 7, 8 and 9 without repetition so that the number is divisible by 4?

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