Edutest Year 5 Mathematics Practice

Try each question first, then open the worked solution to check your answer and see how to reach it.

1. 1.A rectangle has a length of 8cm and a width of 5cm. What is its area?

   • A13 cm²
   • B26 cm²
   • C30 cm²
   • D40 cm²
   Show answer and working

   Answer: D (40 cm²)

   The area of a rectangle is length × width, which counts the square centimetres that fit inside. 8 × 5 = 40, so the area is 40 cm². The answer 13 comes from adding 8 + 5, and 26 is the perimeter (8 + 5 + 8 + 5), which measures the distance around the edge rather than the space inside.

2. 2.The sum of the angles in a triangle is always:

   • A90°
   • B180°
   • C270°
   • D360°
   Show answer and working

   Answer: B (180°)

   The three angles inside any triangle always add up to 180°, whatever its shape or size. You can see this by tearing off the three corners of a paper triangle and placing them side by side: they form a straight line, which is 180°. 360° is the angle sum of a quadrilateral, such as a square.

3. 3.Which of these fractions is the largest?

   • A1/2
   • B3/4
   • C2/5
   • D5/8
   Show answer and working

   Answer: B (3/4)

   Convert each fraction to a decimal, or compare each with one half. 1/2 = 0.5, 3/4 = 0.75, 2/5 = 0.4 and 5/8 = 0.625. The largest is 0.75, which is 3/4. Another way is to use a common denominator of 40: 20/40, 30/40, 16/40 and 25/40, and 30/40 is the biggest.

4. 4.A rectangular garden is 12 metres long and 5 metres wide. A fence is to be built around it. What is the total length of the fence required?

   • A17m
   • B34m
   • C60m
   • D120m
   Show answer and working

   Answer: B (34m)

   A fence goes around the outside, so this is a perimeter question. A rectangle has two lengths and two widths: 12 + 5 + 12 + 5 = 34 m, or 2 × (12 + 5) = 34 m. The answer 17 m only goes halfway around, and 60 m is the area (12 × 5), which would measure the ground inside the fence.

5. 5.How many grams in 2.5kg?

   • A250g
   • B2500g
   • C25000g
   • D25g
   Show answer and working

   Answer: B (2500g)

   There are 1000 grams in 1 kilogram, so multiply by 1000 to change kilograms to grams. 2.5 × 1000 = 2500 g. Think of it as 2 kg = 2000 g plus half a kilogram = 500 g, giving 2500 g. The answer 250 g only multiplies by 100, so it is ten times too small.

6. 6.Round 456 to the nearest 100.

   • A400
   • B500
   • C450
   • D460
   Show answer and working

   Answer: B (500)

   To round to the nearest 100, look at the tens digit. In 456 the tens digit is 5, and the rule is that 5 or more rounds up. So 456 rounds up to 500. On a number line, 456 sits between 400 and 500 and is past the halfway point of 450, so it is closer to 500.

7. 7.What is 3/4 of 12?

   • A6
   • B8
   • C9
   • D10
   Show answer and working

   Answer: C (9)

   To find 3/4 of 12, first find one quarter by dividing by 4: 12 ÷ 4 = 3. Then multiply by 3 to get three quarters: 3 × 3 = 9. The answer 6 is one half of 12, and 8 is two thirds. Remember: divide by the bottom number, then multiply by the top number.

8. 8.Subtract 1.2 from 5.0.

   • A3.8
   • B4.2
   • C4.8
   • D3.2
   Show answer and working

   Answer: A (3.8)

   Line up the decimal points and subtract: 5.0 − 1.2. You cannot take 2 tenths from 0 tenths, so regroup 1 whole as 10 tenths: 4 wholes and 10 tenths. 10 − 2 = 8 tenths and 4 − 1 = 3 wholes, giving 3.8. Check by adding: 3.8 + 1.2 = 5.0.

9. 9.What is the volume of a box 2cm x 2cm x 2cm?

   • A4 cm³
   • B6 cm³
   • C8 cm³
   • D10 cm³
   Show answer and working

   Answer: C (8 cm³)

   The volume of a rectangular box is length × width × height. Here that is 2 × 2 × 2 = 8 cm³. This box is a cube, and you can picture it as 2 layers of 4 small 1 cm cubes. The answer 4 cm³ only multiplies two sides, which gives the area of one face, and 6 adds the sides.

10. 10.What is the next prime number after 7?

    • A9
    • B10
    • C11
    • D13
    Show answer and working

    Answer: C (11)

    A prime number has exactly two factors: 1 and itself. Check the numbers after 7: 8 = 2 × 4, 9 = 3 × 3 and 10 = 2 × 5, so none of them are prime. 11 can only be divided evenly by 1 and 11, so it is the next prime. 13 is also prime, but it comes after 11.