GL-Style Mixed Mock 12: Maths and English
GL-Style Mixed Mock 12 pairs maths with English in one timed sitting and covers the maths content pupils most often run out of time for: perimeter, area and volume of compound shapes, where a diagram must first be split into simpler parts before any calculating can begin. As the final mock in this series, it suits a full timed attempt under strict exam conditions, comparing how many minutes each section actually took against the real test's limits.
Method
- For a compound, L-shaped or irregular shape, split it into two or more rectangles, or a rectangle and a triangle, before calculating anything, marking each part on the diagram if you are allowed to write on it.
- If a side length is missing from a compound shape, use the fact that the shape's opposite outer edges must add up to the same total length, rather than guessing the missing value.
- For area, calculate each part separately, length x width for a rectangle, half x base x height for a triangle, then add the parts together; for perimeter, add every outer edge, remembering that internal split-lines are not part of the perimeter.
- For the volume of a cuboid, multiply length x width x height in a single calculation, keeping every dimension in the same unit before you multiply.
- Always give area in square units, such as cm squared or m squared, and volume in cubed units, such as cm cubed or m cubed, since a numerically correct answer with the wrong type of unit can lose the mark.
- Since this is the last mock in this run, use it as a full timed run-through under strict exam conditions, and note afterwards exactly how many minutes you spent on each section, comparing it with your target time before the real test.
- If you run out of time on the shape questions specifically during this timed run-through, treat that as useful information: it tells you to drill perimeter, area and volume questions on their own before your next full mock, rather than revising more generally.
Worked example
An L-shaped garden is made from a large rectangle 12 metres by 8 metres, with a smaller rectangular corner of 5 metres by 3 metres cut out of it. Work out the area of the remaining L-shaped garden.
- Find the area of the large rectangle before any part is removed: 12 x 8.
- Calculate: 12 x 8 = 96 square metres.
- Find the area of the smaller rectangle that has been cut out: 5 x 3.
- Calculate: 5 x 3 = 15 square metres.
- Subtract the cut-out area from the large rectangle's area: 96 - 15 = 81.
- Final answer: the area of the L-shaped garden is 81 square metres.
Practice questions
Type your answer and press Check to be marked straight away, or reveal the answer and mark yourself.
Q1A rectangle is 7cm by 5cm. What is its area?Show answer
Answer: 35 cm squared (7 x 5 = 35).
Q2A rectangle has an area of 48cm squared and a width of 6cm. What is its length?Show answer
Answer: 8cm (48 / 6 = 8).
Q3A cuboid measures 4cm by 3cm by 5cm. What is its volume?Show answer
Answer: 60 cm cubed (4 x 3 x 5 = 60).
Q4A triangle has a base of 10cm and a height of 6cm. What is its area?Show answer
Answer: 30 cm squared (half x 10 x 6 = 30).
Q5A square has a perimeter of 36cm. What is the length of one side?Show answer
Answer: 9cm (36 / 4 = 9).
Q6An L-shaped room is made from a rectangle 6m by 4m with a 2m by 2m square cut from one corner. What is the area of the room?Show answer
Answer: 20 m squared (6 x 4 = 24, and 2 x 2 = 4, so 24 - 4 = 20).
Q7A cuboid-shaped box has a length of 10cm, a width of 4cm and a volume of 120cm cubed. What is its height?Show answer
Answer: 3cm (10 x 4 = 40, and 120 / 40 = 3).
Exam-style questions
Written in the style of a 11+ exam paper, with a full mark scheme.
A garden path is made from a rectangle of paving 9 metres long and 1.5 metres wide, joined to a second rectangular section 3 metres long and 1.5 metres wide, laid end to end to make one longer path of the same width throughout. Work out (a) the total length of the path, and (b) the total area of paving used.
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 4 available
A delivery company uses cuboid-shaped crates. One crate has a base measuring 1.2 metres by 80cm, and a height of 50cm. Work out the volume of the crate, in cubic centimetres.
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 12: maths and english worksheet pack - 17 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.
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