# Grade 5 Math Practice Test Questions

Grade 5 math practice test questions are presented along with their detailed solutions

1. Which of the following number(s) is divisible by 3 ?
a) 140      b) 111      c) 2232
Solution

2. Which of the following number(s) is divisible by 5 ?
a) 245      b) 3057      c) 24580
Solution

3. Write the numbers in standard form using digits 0, 1, .... 9 .
a) One hundred twenty-six million, twenty-three thousand, forty-six      b) Four hundred twenty-five billion, two hundred thirty-two thousand, fifty-nine.
Solution

4. Paolo went to work at 8:40 am. He walked to the car park for 10 minutes and then drove to work for another 34 minutes. At what time did Paolo arrive at work?
Solution

5. Linda drove from her place to another town a distance of 200 kilometers in 2 hours and a half. At what average speed did she drive?
Solution

6. A factory produced 7200 bicycles last year. The same factory produced 10800 bicycles this year. What is the percent increase of bicycles produced from last year to this year?
Solution

7. Joe bought 3 notebooks; two boxes of pencils at \$1.40 each and a box of pens at \$1.60. She paid a total of \$10.40 . What was the price of each notebook? Solution 8. Jenny is 12 older than Mary and Mary is 2 years younger than Jill who is 23 years. What is the age of Jenny? Solution 9. A rectangle has a length that is 30 meters more than its width. The perimeter of the rectangle is 260 meters. Find the length and the width of this rectangle. Solution 10. 2/3 of x is equal to 20. What is x? Solution 11. Joe drove 100 km at the speed of 50 km/h and drove 150 km at the speed of 75 km/h. What is the average speed of the whole journey? Solution 12. Beverly and Joe have a total of 49 storybooks. If Joe has 5 more storybooks than Beverly, how many storybooks does each one have? Solution 13. Boby has a 10 cm long wire. He cuts off 1/5 of it. How long is the remaining piece, in feet and inches? Solution 14. A shop charges a fixed amount for each pack of biscuits. Six packs of biscuits cost$7.50 at this shop. How much would it cost to buy 8 packs?
Solution

15. A coffee at a high class cafeteria costs three times as much as a coffee in the ordinary cafeteria. The coffee at the ordinary cafeteria costs \$2.60. In a period of one week, Toby bought coffee at the high class cafeteria four times, and six times in the ordinary cafeteria. How much did Toby spend on coffee during the week?
Solution

16. A bag has blue and red marbles. Two-fifths of the marbles are red, and the rest are blue. If there are 60 blue marbles, how many are red?
Solution

17. How many seconds are in the month of August?
Solution


18. Write as decimals.
a) $$\displaystyle \frac{2}{4}$$     b) $$\displaystyle \frac{100}{1000}$$     c) $$\displaystyle \frac{1}{10000}$$
Solution

19. Write as fractions or mixed numbers.
a) $$\displaystyle 0.1$$     b) $$\displaystyle 2.5$$     c) $$\displaystyle 5.01$$
Solution

20. Order from smallest to largest.
a) $$\displaystyle 1.1$$     b) $$\displaystyle \frac{123}{100}$$     c) $$\displaystyle \frac{6}{5}$$
Solution

21. Round the numbers to the nearest one, nearest tenth, and nearest hundredth.
a) $$\displaystyle 1.191$$     b) $$\displaystyle 2.578$$
Solution

22. Convert
a) $$\quad \displaystyle 0.2 \text{ m} = .... \text{ cm}$$     b) $$\quad \displaystyle 35 \text{ cm} = .... \text{m}$$     c) $$\quad \displaystyle 3.5 \text{ km} = .... \text{m}$$     d) $$\quad \displaystyle 36 \text{ in} = .... \text{ft}$$
e) $$\quad \displaystyle 0.035 \text{ L} = .... \text{ cL}$$     f) $$\quad \displaystyle 350 \text{ mL} = .... \text{L}$$     g) $$\quad \displaystyle 3.5 \text{ ft} = .... \text{ in}$$     h) $$\quad \displaystyle 36 \text{ in} = .... \text{cm}$$
Solution

23. Simplify and write the result as a fraction or mixed number.
a) $$\quad \displaystyle 2\frac{1}{3} + 3\frac{2}{3}$$        b) $$\quad \displaystyle 4 \frac{4}{5} - 3\frac{1}{2}$$         c) $$\quad \displaystyle 1 \frac{1}{4} + 3 \frac{3}{5} - 2 \frac{1}{2}$$
Solution

24. Complete writing equivalent fractions.
a) $$\displaystyle \frac{1}{3} = \frac{?}{9}$$        b) $$\displaystyle \frac{10}{4} = \frac{5}{?}$$        c) $$\displaystyle \frac{?}{4} = \frac{15}{20}$$
Solution

25. Reduce the fractions.
a) $$\displaystyle \frac{10}{12}$$        b) $$\displaystyle \frac{21}{42}$$        c) $$\displaystyle \frac{15}{65}$$
Solution

26. Evaluate the following expressions.
a) $$\displaystyle 6^3$$        b) $$1000^0$$        c) $$2^3 + 10^2$$
Solution

27. Which of the following numbers are prime?
a) $$\displaystyle 21 , 13 , 55 , 41 , 201$$
Solution

28. ABCD is a rectangle of length 10 cm and width 5 cm. Find the area of the colored (orange) region.
Solution
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29. Find the volume V of the composite rectangular solid shown below.
Solution
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