The Robert Smyth School Topic 14
Mathematics Faculty Angles
Identifying types of angles and lines
1. (a) Measure and write down the size of the angle p.
(b) Write down what type of angle it is.
(a) Size of angle / (b) Type of anglep = ...... degrees / ......
(Total 2 marks)
2. The diagram shows four straight lines A, B, C and D.
(a) Which two lines are parallel?
Answer ......
(1)
(b) Which two lines are at right angles to each other?
Answer ......
(1)
(Total 2 marks)
3.
(a) Give the mathematical name of this shape.
Answer ......
(1)
(b) Mark with X s two sides which are parallel.
(1)
(c) Mark with Y s two sides that are perpendicular.
(1)
(d) State whether angle A is acute, obtuse or reflex.
Answer ......
(1)
(e) State whether angle B is acute, obtuse or reflex.
Answer ......
(1)
(f) Draw the shape accurately below.
(3)
(Total 8 marks)
4. The diagram shows a five-sided shape.
(a) What name is given to a five-sided shape?
Answer ......
(1)
(b) Mark, with an X, an obtuse angle on the diagram.
(1)
(c) Which line is parallel to BC?
Answer ......
(1)
(d) Which line is perpendicular to BC?
Answer ......
(1) (Total 4 marks)
5. (a) Choose the word from this list which describes an angle of 97°.
Answer......
(1)
(b)
Calculate the value of x.
......
......
Answer x = ...... degrees
(2) (Total 3 marks)
6. The diagram shows an eight-sided shape.
(a) What name is given to an eight-sided shape?
Answer ......
(1)
(b) Which line is parallel to BC?
Answer ......
(1)
(c) (i) Measure accurately the length of line AB.
Answer ...... cm
(1)
(ii) Write down the length of line AB to the nearest centimetre.
Answer ...... cm
(1)
(d) (i) What type of angle is angle F?
Answer ......
(1)
(ii) Measure accurately the size of angle F.
Answer ...... degrees
(1)
(Total 6 marks)
7. Here is a list of words connected with angles.
Choose the correct word to describe each of these angles.
Answer ...... angle
Answer ...... angle
Answer ...... angle
Answer ...... angle
8. (a) Here is a list of angles.
8° 42° 90° 97° 132° 205° 281° 333°
From the list, write down an angle which is
(i) obtuse,
Answer ...... degrees
(1)
(ii) reflex.
Answer ...... degrees
(1)
(b) The diagram shows a hexagon.
The hexagon has two lines of symmetry as shown.
(i) Work out the value of x.
......
Answer ...... degrees
(1)
(ii) Work out the value of y.
......
Answer ...... degrees
(2)
(Total 5 marks)
Calculating Missing Angles
1. (a)
(i) Which of these words describes angle x ?
acute alternate obtuse opposite reflex right angle
Answer ......
(1)
(ii) Calculate the value of x.
......
......
Answer ...... degrees
(2)
(b) The diagram shows a quadrilateral PQRS.
Angle P = 145°, angle Q = 92° and angle S = 74°.
Calculate the value of the exterior angle at R, marked y on the diagram.
......
......
......
......
Answer ...... degrees
(3)
(Total 6 marks)
2.
Work out the size of angle x.
......
......
......
......
Answer ...... degrees
(Total 2 marks)
3. (a) The diagram shows 3 angles on a straight line AB.
Work out the value of x.
......
......
Answer ...... degrees
(1)
(b) The diagram shows 3 angles meeting at point.
Work out the value of y.
......
......
Answer ...... degrees (1)
(c)
Work out the value of z.
......
......
Answer ...... degrees (1)
(d) Explain why the sum of the interior angles of any quadrilateral is 360°.
......
......
......
(2)
(Total 5 marks)
4. (a)
Not drawn accurately
(i) What types of angle are 78° and 144°?
Answer 78° is ......
144° is ......
(2)
(ii) Work out the value of x.
......
......
Answer x = ...... degrees
(2)
(b)
Not drawn accurately
Jasmine says that if this diagram was drawn accurately then ABC would be a straight
line.
Is she right?
You must explain your answer.
......
......
......
(2)
(Total 6 marks)
5. PQ and RS are straight lines.
Work out the value of y.
......
......
......
Answer y = ...... degrees
(Total 3 marks)
6. Angle ABC = 100°
Angle DBC = 13°
(a) What type of angle is ABC ?
Answer ......
(1)
(b) What type of angle is DBC ?
Answer ......
(1)
(c) Work out the size of angle ABD.
......
......
Answer ...... degrees
(1)
(Total 3 marks)
7. (a) Work out 100 – 39
......
Answer ......
(1)
(b)
Work out the value of x.
......
Answer ...... degrees
(2)
(c) What type of angle is 200°?
Answer ......
(1)
(d)
Work out the value of y.
......
......
Answer ...... degrees
(2)
(Total 6 marks)
8. (a) Simplify a + 2a + 3a
......
Answer ......
(1)
(b) A circle is divided into 3 parts as shown.
Work out the value of angle a.
......
......
......
Answer ...... degrees
(2) (Total 3 marks)
9. The diagram shows a kite.
(a) (i) Write down the value of x.
Answer ...... degrees
(1)
(ii) Give a reason for your answer.
......
......
(1)
(b) Work out the value of y.
......
......
......
Answer ...... degrees (2)
(c) A line segment AB is now drawn as shown.
Work out the value of z.
......
......
Answer ...... degrees
(2) (Total 6 marks)
10. (a) Simplify 2x + 3x + 4x
......
Answer ...... km
(1)
(b) The diagram shows a triangle inside a rectangle.
(i) Work out the value of x.
......
......
Answer ...... degrees (2)
(ii) Work out the value of y.
......
......
Answer ...... degrees
(3) (Total 6 marks)
Calculating Missing Angles – Grade C
1. (a) The diagram shows three angles on a straight line AB.
Work out the value of a.
...... …......
Answer a = ...... degrees
(1)
(b)
Work out the values of b and c.
...... …......
Answer b = ...... degrees c = ...... degrees
(2) (Total 3 marks)
2. (a) Work out the size of angles a and b.
Not drawn accurately
......
......
......
Answer a = ...... degrees, b = ……………………. degrees (3)
(b) Show that x + y + z = 180
Not drawn accurately
......
......
......
......
(2) (Total 5 marks)
3. ABC is an isosceles triangle. BCDE is a kite.
Work out the value of x.
…...... …………………………………………….....…………………………………….
…...... …………………………………………….....…………………………………….
…...... …………………………………………….....…………………………………….
…...... …………………………………………….....…………………………………….
…...... …………………………………………….....…………………………………….
Answer ...... degrees
(Total 3 marks)
The Robert Smyth School 16