# Grade 5 Math Practice Test Questions

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

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

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

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.

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

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 ?

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

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 ? 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? 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. 10. 2/3 of x is equal to 20. What is x ? 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 ? 12. Beverly and Joe have a total of 49 story books. If Joe has 5 more story books than Beverly, how many books does each one have? 13. Boby has a 10-ft long wire. He cuts off 1/5 of it. How long is the remaining piece, in feet and inches? 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?

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 \$2.6. In a period of one week, Toby bought coffe at the high class cafetria four times, and six times in the ordinary cafeteria. How much did Toby spend on coffee during the week?

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?

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


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

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

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

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

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) $\quad \displaystyle 36 \text{ in} = .... \text{cm}$

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) $\quad \displaystyle 1 \frac{1}{4} + 3 \frac{3}{5} - 2 \frac{1}{2}$

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

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

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

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

28. ABCD is a rectangle of length 10 cm and width 5 cm. Find the area of the colored (orange) region. .

29. Find the volume V of the composite rectangular solid shown below. .