ANSWERS Beechen Cliff Year 7 Level 4 – 7c Summer Assessment: Shape, Space and Measures Revision Sheet Non­calculator 1 Calculate the perimeter and area of the rectangle. 6cm cm Perimeter = 4 + 6 + 4 + 6 = 20 cm
4 cm Area = 6 × 4 = 24 cm2
Square
2 Circle the tetrahedron. Name the other shapes. based
Cuboid
Cube
3 pyramid
Draw two pairs of lines, one parallel, the other perpendicular. Parallel Lines
Perpendicular Lines
4 Calculate the sizes of the missing angles. a 130° 130° c 34° 120°
51° b a = 180 – 130 = 50º
b = 90 – 34 = 56º
c = 360 – ( 130 + 120 )
= 360 – 250
= 110º
d = 180 – ( 90 + 51 ) = 180 – 141 = 39º
d
5 Find the perimeter and area of each of this compound shape. Start by marking on the missing lengths. Show how you have divided the shape up to find the area. 8 – 2 – 2 = 4 cm
8 cm Area A = 2 × 6 = 12 Area B = 2 × 4 = 8 B
6 – 4 = 2cm
2 + 1 = 3 cm
C
1 cm 6 cm Total Area = 12 + 8 + 6 = 26 cm 2
2 cm 4 cm Area C = 2 × 3 = 6 A
2 cm 6 Calculate the area of each shape. Don’t forget the units in your answers. a Area of a Parallelogram
Not Needed
5.5 mm = Length × Perpendicular Height
4 mm =7×4
= 28 mm2
7 mm Area of a Trapezium
24 m b = Half the Sum of the Parallel sides
× Perpendicular Height
=½×(a+b)×h
10 m = ½ × ( 12 + 24 ) × 10
= ½ × 36 × 10
12 m 7 = 180 m2
Work out the surface area and volume of this cuboid. Don’t forget the units! 2 cm 3 cm Top & Bottom Area = 2 × ( 3 × 6 ) =
36
Front & Back Area = 2 × ( 6 × 2 ) =
24
Two Side Faces Area = 2 × ( 3 × 2 ) = 12
Total Surface Area = 72 cm2
6 cm
Volume of a Cuboid
= Length × Width × Height
=6×3×2
= 36 cm3
8 On squared paper, draw an accurate net for the cuboid shown. 3 cm 5 cm Or Similar
8 cm 9 Find the size of angles a, b and c in the diagrams below. Try to give detailed reasons for your answers. 115° 54°
a b 129° c
a = 54º Alternate Angles ( or Z angles )
b = 115º Corresponding Angles ( or F angles )
c = 180 – 129 = 51º ( Corresponding and Allied/Supplementary Angles)
( OR Alternate and Allied/Supplementary Angles)
{ Allied Angles / ( or Supplementary Angles) lie on a straight line }
10 Describe IN full the single transformation that will take shape A to each of the other shapes…
A onto B = TRANSLATION of 5 to the Left, 1 Up
OR
æ - 5 ö
çç ÷÷
è1 ø
A onto C = ROTATION, ABOUT (2.5, 5.5), 90º CLOCKWISE (or 270º ANTI­CLOCKWISE)
A onto D = ENLARGEMENT, SCALE FACTOR 3, CENTRE (4, 6)
A onto E = ROTATION, ABOUT (3, 6), 270º CLOCKWISE (or 90º ANTI­CLOCKWISE)