Grade 6 Maths Worksheet – Extracted Questions

Oliver draws a rectangle on a coordinate grid. He labels the vertices A, B, C and D. Oliver translates the rectangle four squares down. Write the new coordinates of B.

• (5, 6)

• (5, 2)

• (3, 2)

• (2, 5)

Answer explanation

To find the new coordinates of B after translating the rectangle four squares down, subtract 4 from the y-coordinate of B. If B's original coordinates were (5, 6), the new coordinates become (5, 2). Thus, the correct answer is (5, 2).

Mia has a bar of chocolate. She eats 3/4 of the bar of chocolate. Mia says, "I have 3/4 of my bar of chocolate left for later." Mia is not correct. Explain how you know.

• If she ate three quarters, one quarter of the bar is left.

• If she ate three quarters, three quarters of the bar is left.

• If she ate three quarters, half of the bar is left.

• If she ate three quarters, none of the bar is left.

Answer explanation

Mia ate 3/4 of the chocolate bar, which means only 1/4 is left. Therefore, her statement that she has 3/4 left is incorrect. The correct choice is: If she ate three quarters, one quarter of the bar is left.

Angelique decorates her garden with two sets of lights. One set of lights has a length of 7.35 metres. The other set of lights has a length of 3.62 metres. Calculate the total length of the two sets of lights.

• 10.97 metres

• 11.07 metres

• 3.73 metres

• 10.27 metres

Answer explanation

To find the total length of the two sets of lights, add 7.35 metres and 3.62 metres. The calculation is 7.35 + 3.62 = 10.97 metres, which matches the correct answer choice.

Here is a number. 38.04. Multiply the number by 1000. Write the answer.

• 38040

• 3804

• 380040

• 38.004

Answer explanation

To multiply 38.04 by 1000, move the decimal point three places to the right, resulting in 38040. Thus, the correct answer is 38040.

Here are four calculations. Draw a ring around the calculation that is equivalent to 0.9.

• 360 ÷ 4

• 0.36 ÷ 4

• 36 ÷ 4

• 3.6 ÷ 4

Answer explanation

To find which calculation equals 0.9, we evaluate each option. 3.6 ÷ 4 = 0.9, making it the correct choice. The other calculations do not equal 0.9.

Calculate. 345 ÷ 15

• 21

• 23

• 25

• 30

Answer explanation

To calculate 345 ÷ 15, divide 345 by 15. The result is 23, which is the correct answer. This can be verified by multiplying 23 by 15 to see if it equals 345.

Rajiv records the vehicles that pass his house one morning. Here are his results in a table: cars 200, motorcycles 50, lorries 100, bicycles 50, vans 100. Rajiv records the results in a pie chart. Complete the key for his pie chart by identifying which vehicle should be the largest unlabelled key entry.

• cars

• motorcycles

• lorries

• vans

Answer explanation

Rajiv recorded 200 cars, which is the highest count among all vehicles. Therefore, in the pie chart, the largest unlabelled key entry should be for cars, as they represent the majority of the vehicles recorded.

Answer explanation

Pierre has 12 pieces of pizza, each ½ of a whole pizza. So, 12 pieces x ½ = 12/8 = 1.5 or 1½. Thus, the total fraction of pizza Pierre has is 1½.

Here are the nets of some 3D shapes. Select the net that represents a prism.

• A net made only of triangles forming a pyramid

• A net with a row of rectangles and two identical pentagons attached—one at each end

• A net with one triangle surrounded by three triangles (a tetrahedron)

• A net with a square and four triangles arranged around it

Answer explanation

The correct choice is the net with a row of rectangles and two identical pentagons. This configuration represents a prism, as it has two parallel bases (the pentagons) and rectangular sides, characteristic of prism shapes.

Here is a circle with eight equally spaced dots around its edge and one dot in the centre. Choose a method that will draw a right‑angled triangle using three of the dots.

• Join the centre dot to two edge dots that are 90° apart (two steps around the circle), making the right angle at the centre

• Join any three adjacent edge dots; the angles are all equal and none is a right angle

• Join the centre dot and two opposite edge dots; the three points are collinear

• Join three evenly spaced edge dots around the circle to make an equilateral triangle

Answer explanation

The correct choice is to join the centre dot to two edge dots that are 90° apart. This creates a right-angled triangle with the right angle at the centre, as the two edge dots are positioned two steps apart on the circle.