GL-Style Mixed Mock 9: Maths and English
GL-Style Mixed Mock 9 pairs maths with English in one timed sitting, as several GL consortia do, turning its maths attention to angles and shape: the three core angle facts, and the properties that identify each of the standard quadrilaterals. GL diagrams are frequently not drawn to scale, making this one of the few question families where working something out on paper matters more than trusting what the picture looks like.
Method
- Learn the three core angle facts by heart: angles on a straight line sum to 180 degrees, angles around a point sum to 360 degrees, and angles in a triangle sum to 180 degrees.
- When a diagram shows one or more missing angles, decide first which of the three facts applies, by looking at whether the angles sit on a line, around a full point, or inside a triangle.
- For a triangle question, check whether it is described as isosceles, equilateral or right-angled, since each gives you an extra known angle for free: isosceles has two equal angles, equilateral has three 60-degree angles, and right-angled has one 90-degree angle.
- Set up a short calculation for the missing angle, such as missing angle = 180 minus the known angles, rather than trying to judge the answer by eye.
- Learn the properties of the standard quadrilaterals, square, rectangle, parallelogram, rhombus, trapezium and kite, since GL questions often ask you to identify a shape from a list of clues rather than from a picture.
- Never assume a diagram is drawn to scale; an angle that looks like a right angle, or two angles that look equal, can be a deliberate trap, so always calculate rather than estimate by eye.
- Keep your working brief but visible, one line per angle fact used, so a check at the end of the section is quick.
Worked example
A triangle has one angle of 90 degrees and a second angle of 35 degrees. Work out the third angle of the triangle. A straight line then passes through the vertex of that third angle, so that the third angle and a fourth angle, marked x, together make the straight line. Work out the size of angle x.
- Recall that angles in a triangle sum to 180 degrees.
- Add the two known angles: 90 + 35 = 125 degrees.
- Subtract from 180 to find the third angle: 180 - 125 = 55 degrees, so the third angle of the triangle is 55 degrees.
- Recall that angles on a straight line sum to 180 degrees.
- Subtract the third angle from 180 to find x: 180 - 55 = 125 degrees.
- Final answer: x = 125 degrees.
Practice questions
Type your answer and press Check to be marked straight away, or reveal the answer and mark yourself.
Q1Two angles lie on a straight line. One is 112 degrees. What is the other?Show answer
Answer: 68 degrees (180 - 112 = 68).
Q2Three angles meet at a point. Two of them are 95 degrees and 140 degrees. What is the third?Show answer
Answer: 125 degrees (360 - 95 - 140 = 125).
Q3A triangle has angles of 48 degrees and 66 degrees. What is the third angle?Show answer
Answer: 66 degrees (180 - 48 - 66 = 66).
Q4An isosceles triangle has one angle of 40 degrees at its apex. What are the sizes of the other two, equal, angles?Show answer
Answer: 70 degrees each ((180 - 40) / 2 = 70).
Q5Name a quadrilateral that has two pairs of equal adjacent sides and exactly one pair of equal angles.Show answer
Answer: A kite.
Q6A rhombus has all four sides equal in length. Which of these is also always true of a rhombus: (a) all angles are 90 degrees, or (b) opposite angles are equal?Show answer
Answer: (b) opposite angles are equal (a rhombus is not always a square, so its angles are not always 90 degrees).
Q7A right-angled triangle has one other angle of 53 degrees. What is the remaining angle?Show answer
Answer: 37 degrees (180 - 90 - 53 = 37).
Exam-style questions
Written in the style of a 11+ exam paper, with a full mark scheme.
A triangle has one angle of 90 degrees. The other two angles are in the ratio 2:3. Work out the size of each of the other two angles.
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 3 available
A quadrilateral has angles of 75 degrees, 95 degrees, x degrees and 100 degrees, and the four angles of any quadrilateral add up to 360 degrees. (a) Work out the value of x. (b) Could this quadrilateral be a rectangle? Give a reason.
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 4 available
Free printable worksheet
Want more practice on paper? Download the gl-style mixed mock 9: maths and english worksheet pack - 18 pages of exam-style questions with a full mark scheme. One email opens every download in this browser for 14 days - no account, no card. Print it for personal and classroom use.
Next topics
Not quite what you needed?
Tell us what is missing on gl-style mixed mock 9: maths and english, or which topic to write up next. Every request is read, and we reply to every one.
Build a full practice pack.
This topic is one of hundreds in the library - pick the ones a student needs and generate a printable PDF in minutes.