Dividing Decimals (A) AnswersFind each quotient.

0.21) 0.7959 0.93) 5.7288 0.18) 0.7884 0.21) 2.0853

Whole number divisors and quotients: 3.79   6.16  4.38   9.93

21) 79.59 93) 572.88 18) 78.84 21) 208.53

0.26) 1.3728 0.52) 3.5048 0.89) 4.2097 0.91) 8.6814

Whole number divisors and quotients:  5.28   6.74   4.73   9.54

26) 137.28 52) 350.48 89) 420.97 91) 868.14

0.15) 0.5655 0.82) 1.23 0.23) 1.8078 0.36) 0.7884

Whole number divisors and quotients: 3.77   1.5   7.86  2.19

15) 56.55 82) 123 23) 180.78 36) 78.84

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c) z = because

d) m = because

3 a) Write the size of the given angles.

ABD

EBC

DBE

b) Is ABC a straight line?

How do you know?

4 Here is a triangle.

a) BAC = 64°

Show this information on the triangle.

b) Given that BCA = 52°, is triangle ABC isosceles?

Explain your answer.

Understand and use basic angle rules and notation

1 Complete the angle rules.

a) Angles on a straight line

b) Angles around a point

c) Vertically opposite angles

d) Angles in a triangle

e) Angles in a quadrilateral

2 Work out the sizes of the unknown angles.

Give reasons for your answers.

a) x = because

b) y = because

© White Rose Maths 2020

112°

x

47°109°

z

79°

y

61°

113°

m

38°

97° 44°

A

B

CD

E

B

CA

7 The angles in a triangle are in the ratio 2 : 3 : 5

Is the triangle a right-angled triangle?

Show your workings.

8 AB and CD are straight lines.

The lines AB and CD intersect at point E.

Angle CEB is 47° greater than angle AEC.

a) Draw a diagram to represent this information.

b) Work out the size of each angle.

Give your answers using correct angle notation.

Create your own problem like this for a partner.

5 Work out the size of the unknown angles.

a) c)

a = c =

b) d)

b = d =

Discuss your reasons with a partner.

6 Work out the value of x.

a) c)

x = x =

b) d)

x = x = © White Rose Maths 2020

51.3° a

63.1°147.2°

47.9°b

x

2x

x

2x

87.2°70.5°

c

115.6°

99.9°d

57°3x

3x2x

x

3 Line segments AB and CD are parallel.

Line segment EF is a transversal that intersects the line segments at points X and Y respectively.

a) Measure the size of each angle.

AXF =

AXE =

CYF =

CYE =

BXF =

BXE =

DYF =

DYE =

Compare answers with a partner.

What do you notice?

b) Complete the sentences.

Angle AXE is alternate to angle

Angle AXE is corresponding to angle

Angle BXF is corresponding to angle

Angle CYF is alternate to angle

Investigate angles between parallel lines and the transversal

1 For each diagram, draw a line segment that is parallel to AB and goes through point C.

Draw on the diagrams to indicate that the lines are parallel.

a) c)

b) d)

2 Line segments MN and PQ are parallel.

Draw a transversal that cuts through the parallel lines and goes through point R.

© White Rose Maths 2020

A B

C

B

A

C

A

B

C

A

BC

M P

N Q

R

F

X

Y

E

A B

C D

5

a) Complete the sentence in two ways.

Line segments and are parallel.

Line segments and are parallel.

b) Complete the sentence.

GJ is a that intersects the line segments

and

c) Identify four pairs of alternate angles.

d) Identify four pairs of corresponding angles.

e)

Do you agree with Dora?

Explain your answer.

4 Line segments QR and ST are parallel.

Line segment UV is a transversal that intersects the line segments at

points X and Y respectively.

a) Draw a diagram to represent this.

Compare your diagram with a partner’s diagram.

Do they look the same? Does it matter? Why?

b) Eight angles are formed. Measure the size of each angle and label them on the diagram.

Compare answers with a partner.

What is the same and what is different?

c) Identify two pairs of alternate angles and two pairs of corresponding angles.

What do you notice? © White Rose Maths 2020

Angles GHO and ALN are alternate angles.

A B

D

H

E

I

L M

O P

C

G

F

J

K N

1 Are the pairs of angles alternate, corresponding or neither?

a) b) c)

2 Four angles are labelled on the diagram.

a) p and q are alternate angles. Measure the size of each angle and label them on the diagram.

What do you notice?

b) Complete the sentence.

Alternate angles are

c) r and s are corresponding angles. Measure the size of each angle and label them on the diagram.

What do you notice?

d) Complete the sentence.

Corresponding angles are

3 Complete the sentences.

a) Angle a is vertically opposite angle

Angle a is corresponding to angle

Angle h is alternate to angle

Angle h is corresponding to angle

Angle h is vertically opposite angle

b)

Angles d and are adjacent angles on a straight line.

Angles d and are alternate angles.

Angles and d are corresponding angles.

Angles d and are vertically opposite angles.

c) AXF is alternate to

AXF is corresponding to

DYF is corresponding to

DYF is vertically opposite to

AXF and are adjacent angles on a straight line.

Identify and calculate with alternate and corresponding angles

© White Rose Maths 2020

p

q

r

s

d

h

c

g

a

e

b

f

a

e

d

h

b

f

c

g

XY

A

E

F

C

B D

6 x : y = 2 : 1

Work out the size of angle z.

z =

Discuss your reasoning with a partner.

7

a) Show that line segments AB and CD are not parallel when x = 12 Explain your answer.

b) Line segments AB and CD are parallel. Work out the sizes of the angles and label them on the diagram.

Discuss your method with a partner.

4 Mo has measured two angles.

a) Are line segments AB and

CD parallel?

Explain your answer.

b) Eva says, “I think they could be parallel.”

Why might Eva think this?

5 Work out the sizes of the unknown angles.

Give reasons for your answers.

a) a = because

b) b = because

c) c = because

d) d = because

© White Rose Maths 2020

57°

A B

C D

121°

x

y

z

a

91°

b111°

d73° 72°

c

63.2°

A

B

(7x + 20)°

(3x + 10)°

D

C