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7 questions on GCSE maths

GCSE Maths Quiz

It's exam season. In a spirit of solidarity with frazzled school children, the Magazine is inviting readers to see how they would fare in a series of curriculum tests, starting with maths. Questions are of a GCSE standard and supplied by BBC Bitesize. You may turn over your papers now.

Boy pointing at blackboard

1.) GCSE Maths Quiz

A family orders two teas, two coffees and a milkshake. If they pay with a £10 note how much change will they get?

Graphic of menu
  1. £4.20
  2. £4.80
  3. £5.20

2.) GCSE Maths Quiz

What is this calculation to the nearest penny?

Graphic of equation
  1. £1.02
  2. £1.22
  3. £1.42

3.) GCSE Maths Quiz

A business woman is travelling to New York. She changes £750 to US dollars ($). Using the table opposite work out how much she gets.

Graphic of exchange rate table
  1. $1,272
  2. $1,365
  3. $1,492

4.) GCSE Maths Quiz

Express the angle x in terms of a.

Graphic of sum
  1. 2a
  2. 3a
  3. 4a

GCSE Maths Quiz

Y = 360 - x because they make a full turn. If x = 2a then y = 360 - 2a. Then z = half of this (angles on a chord again). So z = 180 - a. So, a + z = a +(180 - a) = 180. So opposite angles add up to 180.

Angles

5.) GCSE Maths Quiz

Which of these is correct if this equation is rearranged making "c" the subject?

Graphic of equation
  1. c=6b-a
  2. c=3b-a
  3. c=2a-b

6.) GCSE Maths Quiz

What is this sum in standard form?

Graphic of equation
  1. 0.00602
  2. 0.00902
  3. 0.009026

7.) GCSE Maths Quiz

The dimensions of this rectangle are correct to the nearest mm. What is the greatest value for the area of the rectangle?

Graphic of rectangle
  1. 50.0245 cm sq
  2. 56.0425 cm sq
  3. 59.0425 cm sq

Answers

  1. It's £4.80 as the bill will have come to £5.20.
  2. It's £1.02. The working: 3.56/7 = 0.509 x 2 = 1.018, which rounded up is 1.02.
  3. It's $1,365. The working: 750 x 1.82 = 1,365.
  4. It's 2a. Click NEXT to see our working.
  5. It's c=2a-b. The working: In an equation with unknowns on both sides, whatever you do to one side you must do to the other. So 3c+b=2c+2a. Now get rid of 2c from both sides. So c+b=2a. Now deduct b from both sides, to get c=2a-b.
  6. It's 0.00902. The working: move the decimal point three places to the left.
  7. It's 59.0425 cm sq. The working: with options for answers given to four decimal places, the longest each side can be in mm is 5.6499 x 10.4499, which equals 59.0425 rounded to four decimal places.

Your Score

0 - 2 : Dunce

3 - 5 : Could do better

6 - 7 : Top marks

For a complete archive of past quizzes, including the Curriculum tests and our weekly news quiz 7 days 7 questions, visit the Magazine index and scroll down the page.

Questions supplied by BBC Bitesize



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