Reasoning: Measures and Geometry - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDF Jump to mark scheme (page 5)Reasoning: Measures and Geometry revision guide

This topic is chapter 4 of KS2 Maths: Geometry Practice Book.

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8.7 Reasoning: Measures and Geometry

Calculators not allowed · about 40 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write 2,450 centimetres as metres.

(1)

A circle has radius 6 cm. What is its diameter?

(1)

A packet weighs 1.35 kg. Sarah buys 3 packets. Work out the total mass in kilograms and in grams.

(2)

Here are three nets of solids labelled A, B and C. Which net could make a cube? Explain your answer.

Figure: Three nets, each made of six equal squares, are shown on a grid. Net A: six squares in a single straight row (a 1 by 6 strip). Net B: a row of four squares side by side; one extra square is attached above the second square in that row, and one extra square is attached below the third square (a cross-like shape). Net C: six squares arranged as a solid rectangle, two rows of three squares each.

A triangular field has base 24 m and height 10 m. Calculate its area in square metres.

(2)

A regular pentagon is drawn. How many lines of symmetry does a regular pentagon have? Write the number.

(1)

A train departs at 09:15 and the journey takes 2 hours 55 minutes. At what time does the train arrive?

(2)

A scale drawing uses scale 1:250. A pond measures 4 cm on the drawing. What is the actual length of the pond in metres?

(2)

Estimate the total length by rounding each length to the nearest metre, then adding: 3.48 m, 2.66 m and 4.21 m. Give your estimate.

(2)

Here are two shapes made from the same six identical 1 cm by 1 cm squares. Shape X is a 2 by 3 rectangle. Shape Y is an L shape with the same squares. Do the shapes have the same area? Explain your answer.

Figure: Shape X: rectangle 2 by 3. Shape Y: L shape made from 6 unit squares.

(2)

A rectangle has width 6.3 m and perimeter 28.6 m. Work out the length of the rectangle.

(2)

A rectangle is 1.8 m by 75 cm. Calculate its area in square metres.

(2)

Which is the larger angle: 132 degrees or 3/4 of a right angle? Tick the larger angle.

132 degrees
3/4 of a right angle

The angles in a triangle are 35 degrees and 78 degrees. Work out the size of the third angle.

(2)

A small storage box measures 30 cm by 20 cm by 15 cm. Find its volume in cubic centimetres.

(2)

Write 2,250 millilitres as litres.

(1)

Maya needs 2 hours 30 minutes to bake a tray of muffins. She wants to bake 3 trays, one after another. How long will it take her in hours and minutes?

(2)

A garden path is made from tiles each 40 cm long. Four tiles are placed end to end, then a 25 cm stone is added. What is the total length in metres?

(2)

Mark scheme · 8.7 Reasoning: Measures and Geometry

Question 1

B1 24.5 m cao
Answer: 24.5

Question 2

B1 12 cm cao
Answer: 12 cm

Question 3

M1 Multiply 1.35 x 3 = 4.05 kg or equivalent method
B1 4.05 kg and 4050 g cao
Answer: 4.05 kg; 4050 g

Question 4

B1 Correct net named, for example B cao
B1 Reason given that the net has six squares arranged so opposite faces can fold without overlap or gap oe
Answer: B

Question 5

M1 Use area formula 1/2 x base x height with 24 x 10
B1 120 m2 cao
Answer: 120

Question 6

B1 5 cao
Answer: 5

Question 7

M1 Add 2 hours 55 minutes to 09:15 correctly or convert to minutes 175 and add
B1 12:10 cao
Answer: 12:10

Question 8

M1 Multiply 4 cm by 250 to get 1000 cm or set up scale 1:250
B1 10 m cao
Answer: 10 m

Question 9

M1 Round each to nearest metre: 3, 3, 4 or equivalent rounding seen
B1 10 m cao
Answer: 10 m

Question 10

B1 States that both shapes use six 1 cm2 squares so area equal
B1 Gives explanation that area counts number of unit squares so both are 6 cm2 oe
Answer: Yes. Both have area 6 cm2

Question 11

M1 Partition perimeter: 2 x (length + 6.3) = 28.6 with correct rearrangement
B1 8.0 m cao
Answer: 8.0

Question 12

M1 Convert 75 cm to 0.75 m and multiply 1.8 x 0.75 seen
B1 1.35 m2 cao
Answer: 1.35

Question 13

B1 132 degrees cao
Answer: 132 degrees

Question 14

M1 Add 35 + 78 = 113 seen or subtraction from 180 set up
B1 67 degrees cao
Answer: 67

Question 15

M1 Multiply 30 x 20 x 15 or equivalent method
B1 9000 cm3 cao
Answer: 9000

Question 16

B1 2.25 L cao
Answer: 2.25

Question 17

M1 Multiply 2 hours 30 minutes by 3 or convert to minutes 150 x 3 seen
B1 7 hours 30 minutes cao
Answer: 7 hours 30 minutes

Question 18

M1 Compute 4 x 40 = 160 and add 25 to get 185 cm or equivalent
B1 1.85 m cao
Answer: 1.85

Reasoning: Measures and Geometry - Worksheets, Questions and Revision

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8.7 Reasoning: Measures and Geometry

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