Geometry and Measures Depth - Worksheets, Questions and Revision

21 original exam-style questions - 8 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 9)
« Previous: Geometry: Properties of Shapes and AnglesNext: Measurement: Length, Mass, Capacity, Time and Money »
Revision Library
revisionlibrary.co.uk
KS2 · Geometry and Measures

KS2.M-GEOM2 Geometry and Measures Depth

NCETM National Curriculum (2014) Mathematics - KS2 Geometry and Measures (Depth) · Calculators not allowed · about 70 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write down the name of the shape described in each part.
(a)A quadrilateral with all four sides equal in length and all four angles equal to 90 degrees.(1)
(b)A quadrilateral with two pairs of parallel sides, opposite sides equal in length, but no right angles.(1)
(c)A triangle with all three sides of different lengths and all three angles of different sizes.(1)
(d)A polygon with five straight sides and five vertices.(1)
2
For each angle below, write down whether it is acute, right angle, obtuse or reflex.
(a)40 degrees(1)
(b)90 degrees(1)
(c)155 degrees(1)
(d)275 degrees(1)
3
Priya measures the length of her pencil case using a ruler marked in centimetres and millimetres. The case starts at the 2 cm mark and ends at the 19.4 cm mark.
(a)What is the length of the pencil case, in centimetres?(1)
(b)Convert your answer to part a into millimetres.(1)
4
Convert between units of length.
(a)Convert 3.5 m to cm.(1)
(b)Convert 2400 mm to m.(1)
(c)Convert 0.75 km to m.(1)
5
Name the 3D shape that each net below would fold into.
(a)A net made from six identical squares.(1)
(b)A net made from one rectangle and two identical triangles, one attached to each short end of the rectangle.(1)
6
A rectangle ABCD has vertices A(2, 3), B(2, 7) and C(9, 7).
(2)
7
Use angle facts to find the missing angles below.
(a)Two angles lie on a straight line. One of the angles is 118 degrees. Work out the size of the other angle, marked x degrees.(2)
(b)Three angles meet at a point. Two of the angles are 95 degrees and 140 degrees. Work out the size of the third angle, marked y degrees.(2)
8
Use angle facts about triangles to find the missing angles below.
(a)A triangle has angles of 52 degrees and 67 degrees. Work out the size of the third angle, marked z degrees.(2)
(b)An isosceles triangle has an apex angle of 40 degrees. The two base angles are equal, each marked p degrees. Work out the size of each base angle.(2)
9
Answer the questions about the 3D shapes below.
(a)A 3D shape has 6 faces, 12 edges and 8 vertices. Every face is a square. Write down the name of this shape.(1)
(b)A 3D shape has 5 faces, 8 edges and 5 vertices. It has a square base and four triangular faces that meet at a single point. Write down the name of this shape.(1)
(c)A triangular prism has a triangular cross-section. Write down the number of faces it has.(1)
(d)Write down the number of edges a triangular prism has.(1)
(e)Write down the number of vertices a triangular prism has.(1)
10
Answer the questions about translations on a coordinate grid.
(a)Point P has coordinates (3, 4). P is translated 5 squares right and 2 squares down. Write down the coordinates of the image of P.(2)
(b)Point Q is translated from (7, 1) to (2, 6). Describe this translation, giving the number of squares moved left or right and up or down.(2)
11
Answer the questions about reflections on a coordinate grid.
(a)Point R has coordinates (4, 2). R is reflected in the y-axis. Write down the coordinates of the image of R.(2)
(b)Point S has coordinates (-3, 5). S is reflected in the x-axis. Write down the coordinates of the image of S.(2)
12
A rectangular field is 45 m long and 18 m wide.
(a)Work out the area of the field.(2)
(b)Work out the perimeter of the field.(2)
13
A pond is drawn on a centimetre-squared grid. It covers 23 whole squares and 14 part-squares. Each part-square counts as approximately half a whole square.
(2)
14
A cuboid is built using 1 cm cubes. It is 4 cubes long, 3 cubes wide and 2 cubes high.
(a)How many 1 cm cubes are needed to build the cuboid?(2)
(b)Write down the volume of the cuboid, giving the correct unit.(1)
15
A cardboard box measures 12 cm by 7 cm by 5 cm.
(2)
16
Answer the questions about mass and capacity.
(a)Convert 2.3 kg to g.(1)
(b)Convert 650 ml to litres.(1)
(c)A recipe needs 1.2 kg of flour in total. Kwame has already used 800 g of flour. How many more grams of flour does he need?(2)
17
Answer the questions about reading scales.
(a)A kitchen scale dial is numbered every 100 g from 0 g to 1000 g, with 5 equally spaced small divisions between each numbered mark. The pointer stops 3 small divisions past the 400 g mark. What reading does the scale show?(2)
(b)A measuring jug is marked in 50 ml intervals from 0 ml to 500 ml. The water level is exactly halfway between the 250 ml and 300 ml marks. What is the reading?(1)
18
Two straight lines cross at a point, forming four angles. One of the four angles is 65 degrees.
(a)Write down the size of the angle vertically opposite the 65 degree angle, giving a reason.(1)
(b)Work out the size of each of the other two angles.(2)
19
The diagram shows the outline of a school playground shaped like the letter L, drawn on a grid where each square represents 1 metre. Its vertices, taken in order, are at (0, 0), (8, 0), (8, 3), (5, 3), (5, 6) and (0, 6).
(a)Calculate the perimeter of the playground.(3)
(b)Calculate the area of the playground.(3)
20
A rectangular room is 6.5 m long and 4 m wide. Aaliyah wants to cover the whole floor with square tiles that have sides of 50 cm, with no gaps and no overlaps.
(3)
21
Ffion needs to fence a garden shaped like the letter L. Taking the vertices in order, and measuring in metres, they are at (0, 0), (9, 0), (9, 4), (6, 4), (6, 7) and (0, 7). Fencing costs £8.50 per metre.
(4)
Mark scheme · KS2.M-GEOM2 Geometry and Measures Depth

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21