## Textbook Answers – Addition

**Workout**

Question 1:

(a) 88

(b) 48

(c) 81

(d) 103

(e) 96

(f) 103

(g) 131

(h) 177

Question 2:

(a) 687

(b) 618

(c) 991

(d) 725

(e) 1286

(f) 588

(g) 1201

(h) 1221

Question 3:

(a) 6016

(b) 7881

(c) 10229

(d) 6370

(e) 2042

(f) 7969

(g) 13312

(h) 9284

Question 4:

(a) 63335

(b) 62038

(c) 28152

**Apply**

Question 1: 66p or £0.66

Question 2: 181 marbles

Question 3(a): 106 kilometres

3(b): 160 kilometres

Question 4: 696 students

Question 5(a):54 + 35 = 89

5(b): 48 + 24 = 72

5(c): 563 + 371 = 934

Question 6:

(a) In the tens column, although the 1 has been carried over from the units, it has not been added to the 5 and the 7 to make 13, not 12. The answer should be 1035.

(b) When the 8, 9, 7 and the carried over 1 are added together in the tens column, it gives 25, so a 2 should be carried over into the hundreds column, not a 1. The answer should be 1356.

## Textbook Answers – Edges, Faces, Vertices

**Workout**

Question 1:

(a) Cube: Edges = 12, Faces = 6, Vertices = 8

(b) Cuboid: Edges = 12, Faces = 6, Vertices = 8

(c) Triangular Prism: Edges = 9, Faces = 5, Vertices = 6

(d) Tetrahedron: Edges = 6, Faces = 4, Vertices = 4

(e) Square based Pyramid: Edges = 8, Faces = 5, Vertices = 5

(f) Pentagonal Prism: Edges = 15, Faces = 7, Vertices = 10

(g) Pentagonal based Pyramid: Edges = 10, Faces = 6, Vertices = 6

**Apply**

Question 1:

Cube: The number of edges/faces are the wrong way around. It should be 12 edges and 6 faces.

Square based Pyramid: It should have 8 edges, not 5.

Triangular Prism: It has 5 faces, not 9.

## Textbook Answers – Nets

**Workout**

Question 1

Question 2

a) Cone

b) Square based pyramid

c) Cuboid

d) Cylinder

e) Triangular Prism

f) Cube

Question 3:

a)

b)

c)

d)

Question 4:

a)

b)

Question 5:

a)

b)

**Apply**

Question 1:

Question 2:

Question 3:

Mistake 1: There is no lid for the cuboid.

Mistake 2: There should be 2×2 squares on the right/left sides

## Textbook Answers – 3D Shapes

**Workout**

Question 1

Question 2

a) Cylinder

b) Cuboid

c) Cone

d) Tetrahedron (triangular-based pyramid)

e) Cube

f) Square-based pyramid

g) Sphere

h) Triangular prism

**Apply**

Question 1:

Square based pyramid (pyramids)

Sphere (baseball)

Cylinder (can of beans)

Cuboids (dice)

Triangular prisms (toblerone bars)

Cuboid (box)

Question 2:

Shape A is a cuboid not a cube

## Textbook Answers – Quadrilaterals

**Workout** – Question 1

Question 2

(a) Kite (b) parallelogram (c) square (d) Trapezium

(e) Rectangle (f) Rhombus

Question 3:

Question 4:

(a) Order 4 (b) Order 2 (c) Order 1 (d) Order 2

(e) Order 1 (f) Order 2

Question 5: Some trapeziums (trapezia)

Question 6: Kites, Rectangles, Parallelograms, Arrowheads/Deltas

Question 7: Squares and rhombuses (rhombi)

Question 8: Squares, rectangles, Parallelograms, rhombuses (rhombi)

Question 9: Trapezium

**Apply:**

Question 1: A trapezium may have no lines of symmetry, but it may also have one line of symmetry.

Question 2:

(a) Correct – it does have four right angles

(b) Incorrect – it has two pairs of parallel lines

(c) Incorrect – a rectangle only has two lines of symmetry

(d) Correct – it does have rotational symmetry of order 2.

## Textbook Answers – 2D Shapes

Worksheet – Question 1:

Question 2

(a) Rectangle

(b) Hexagon

(c) Triangle (right angle)

(d) Circle

(e) Pentagon

(f) Square

(g) Octagon

(h) Semi-circle

Question 3

(a) Pentagon

(b) Octagon

(c) Heptagon

Apply – Question 1

Question 2: (There are many options, I have listed some possible answers)

Sun – Circle

Sun rays – Triangles

Stop sign – Octagon

Hula Hoop – Circle

Bus tyres – Circles

Garage door – rectangles

Question 3

(a) Correct

(b) Correct

(c) Wrong – hexagon

(d) Wrong – parallelogram (there is no such shape as a diamond!)

## Textbook Answers – LCM/HCF using Product of Primes

Textbook Exercise – Workout

Question 1:

(a) 105

(b) 154

(c) 105

(d) 99

(e) 60

(f) 90

(g) 80

(h) 120

(i) 144

(j) 78

(k) 150

(l) 144

(m) 168

(n) 180

(o) 360

(p) 630

Question 2:

(a) 7

(b) 5

(c) 6

(d) 9

(e) 15

(f) 14

(g) 30

(h) 16

(i) 8

(j) 1

(k) 12

(l) 19

(m) 11

(n) 28

(o) 45

(p) 32

Textbook Answers – Apply

Question 1(a) 420

1(b) 12

Question 2: 300

Question 3: 168 seconds

Question 4: 1pm or 13:00

Question 5: 6200

Question 6: 26 and 65

Question 7: The highest common factor of 20 and 21 is 1.

Question 8: 1200 coins each, so they have 2400 in total.

Question 9: It should be 4, since 2 x 2 = 4. Perhaps he just put the two 2’s beside each other to make 22 instead of multiplying them.