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

Which of the following number(s) is divisible by**3**?

a)**140**b)**111**c)**2232**

Solution

Which of the following number(s) is divisible by**5**?

a)**245**b)**3057**c)**24580**

Solution

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

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

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

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

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

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

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

2/3 of x is equal to 20. What is x?

Solution

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

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

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

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

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

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

How many seconds are in the month of August?

Solution

\( \)\( \)\( \)\( \)

Write as decimals.

a) \( \displaystyle \frac{2}{4} \) b) \( \displaystyle \frac{100}{1000} \) c) \( \displaystyle \frac{1}{10000} \)

Solution

Write as fractions or mixed numbers.

a) \( \displaystyle 0.1 \) b) \( \displaystyle 2.5 \) c) \( \displaystyle 5.01 \)

Solution

Order from smallest to largest.

a) \( \displaystyle 1.1 \) b) \( \displaystyle \frac{123}{100} \) c) \( \displaystyle \frac{6}{5} \)

Solution

Round the numbers to the nearest one, nearest tenth, and nearest hundredth.

a) \( \displaystyle 1.191 \) b) \( \displaystyle 2.578 \)

Solution

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

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

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

Reduce the fractions.

a) \( \displaystyle \frac{10}{12} \) b) \( \displaystyle \frac{21}{42}\) c) \( \displaystyle \frac{15}{65} \)

Solution

Evaluate the following expressions.

a) \( \displaystyle 6^3 \) b) \( 1000^0 \) c) \( 2^3 + 10^2 \)

Solution

Which of the following numbers are prime?

a) \( \displaystyle 21 , 13 , 55 , 41 , 201 \)

Solution

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

Solution

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