Ontario MPT: Number: fractions, decimals, percents and ratios

All 20 questions in this test

Every question and its answer choices. The correct answers and explanations appear when you take the test above.

1. Which number is between −1/2 and −1/4?

   1. −3/8
   2. 3/8
   3. −1/8
   4. −5/8

2. Write 0.00045 in scientific notation.

   1. 4.5 × 10⁻³
   2. 45 × 10⁻⁵
   3. 4.5 × 10⁻⁴
   4. 4.5 × 10⁴

3. Add two fractions with unlike denominators: 2/5 + 3/10.

   1. 5/15
   2. 7/10
   3. 5/10
   4. 1/2

4. Evaluate the product of powers 2³ × 3².

   1. 36
   2. 216
   3. 72
   4. 12

5. A recipe uses flour and sugar in the ratio 5 : 2. How much sugar goes with 750 g of flour?

   1. 1 875 g
   2. 300 g
   3. 150 g
   4. 377 g

6. A class of 35 students has 40% who walk to school. How many students walk?

   1. 14
   2. 21
   3. 4
   4. 40

7. Which list orders the decimals 0.6, 0.45, 0.405 and 0.5 from least to greatest?

   1. 0.45, 0.405, 0.5, 0.6
   2. 0.6, 0.5, 0.45, 0.405
   3. 0.405, 0.45, 0.5, 0.6
   4. 0.5, 0.6, 0.45, 0.405

8. A student says 0.3 × 0.2 = 0.6. What is the correct product, and what error did the student make?

   1. 6; the decimal point should be dropped
   2. 0.5; the numbers should be added
   3. 0.06; the decimal places were not counted
   4. 0.6; the answer is already correct

9. A student evaluates 18 − 6 ÷ 3 and gets 4. What is the correct value?

   1. 2
   2. 8
   3. 16
   4. 4

10. How many 3/8-cup scoops are in 3/4 of a cup?

    1. 3
    2. 1/2
    3. 2
    4. 9/32

11. A price rises 20% and then falls 20%. Compared with the original, the final price is:

    1. 20% lower
    2. 4% lower
    3. 4% higher
    4. the same

12. In the number 4 307.25, what is the value of the digit 7?

    1. 7 hundreds
    2. 7 ones
    3. 7 tenths
    4. 7 tens

13. The temperature is −7 °C at dawn and rises 12 degrees by noon. What is the noon temperature?

    1. 5 °C
    2. −19 °C
    3. 19 °C
    4. −5 °C

14. Buses leave every 12 minutes and trains every 18 minutes. Both leave at 8:00. When do they next leave together?

    1. 9:00
    2. 8:54
    3. 8:36
    4. 8:30

15. Between which two consecutive whole numbers does √50 lie?

    1. 5 and 6
    2. 24 and 26
    3. 7 and 8
    4. 6 and 7

16. What is the greatest common factor of 48 and 36?

    1. 4
    2. 6
    3. 144
    4. 12

17. Which percent is equivalent to the fraction 1/8?

    1. 12.5%
    2. 18%
    3. 8%
    4. 1.25%

18. If 9 notebooks cost $15, how much do 6 notebooks cost at the same price?

    1. $10
    2. $22.50
    3. $12
    4. $9

19. A student claims 1/3 + 1/4 = 2/7. Which model best shows why this is wrong?

    1. A hundreds chart that shows only the even numbers
    2. A bar graph of the class's favourite fruits
    3. A number line showing 1/3 alone is already more than 2/7
    4. A tally chart of the class's votes for team names

20. Which is the best estimate of 49 × 21?

    1. 1 000
    2. 70
    3. 10 000
    4. 100