Daily Practice · Foundation

August 2023 - Foundation 5-a-day

Every Foundation sheet published in August 2023, with answers. Grades 3-4 - securing a Foundation pass: fractions, percentages, angles and the first algebra.

← Today's Foundation sheet

August 2023

31 sheets · 155 questions · Grades 3-4

Printing for a group?

The batch download puts all 5 tiers' August 2023 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in August 2023

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st August 2023£1 is worth 1.24 US dollars. How many US dollars does £440 buy?
  2. 2nd August 2023A trapezium has parallel sides of 7 cm and 10 cm, 14 cm apart. Work out its area.
  3. 3rd August 2023Here are seven numbers: 22, 4, 17, 13, 28, 7, 2. Work out the median and the range.
  4. 4th August 2023In a group of 140 students, 70 are boys. 25 boys and 25 girls bring a packed lunch. How many students do not?
  5. 5th August 2023Between which two consecutive whole numbers does sqrt(159) lie?
  6. 6th August 2023Solve the inequality 2x - 14 < -6.
  7. 7th August 2023A recipe for 10 scones uses 240 g of flour. How much flour is needed for 5 scones?
  8. 8th August 2023The point (8, 5) is reflected in the y-axis. Write down the coordinates of the image.
  9. 9th August 2023A bag holds 5 red, 9 blue and 5 green counters. One is taken at random. Work out the probability it is red.
  10. 10th August 2023In a survey 3 households own 1 car, 8 own 2 cars and 2 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  11. 11th August 2023Work out 3/4 x 3/6. Give your answer in its simplest form.
  12. 12th August 2023Simplify 7a + 7b + 8a - 6b.
  13. 13th August 20233 identical notebooks cost £3.75. Work out the cost of 8 of the same notebooks.
  14. 14th August 2023The bearing of B from A is 243°. Work out the bearing of A from B.
  15. 15th August 2023A biased coin lands on heads with probability 0.15. It is thrown 100 times. How many heads would you expect?
  16. 16th August 2023A frequency polygon has plotted frequencies of 4, 2, 4 and 7. How many values are in the whole data set?
  17. 17th August 2023A length x is 470 cm, rounded to the nearest 10. Write down the error interval for x.
  18. 18th August 2023A line has equation y = 3x - 3. Write down where it crosses the x-axis and where it crosses the y-axis.
  19. 19th August 2023A model of a bridge is built to a scale of 1 : 20. The real length is 2 m. How long is the model, in cm?
  20. 20th August 2023A cuboid measures 10 cm by 4 cm by 5 cm. Work out its volume.
  21. 21st August 2023Musa has 5 scores with a mean of 20. Scores 20, 14, 19, 26 are known. Work out the missing score.
  22. 22nd August 2023A scatter graph plots the number of hours revised and the test mark. What type of correlation would you expect?
  23. 23rd August 2023Between which two consecutive whole numbers does sqrt(68) lie?
  24. 24th August 2023The angles in a triangle are 4x°, x° and (x + 60)°. Form an equation and work out x.
  25. 25th August 2023A 900 g bag of coffee costs £10.80. Work out the cost per 100 g.
  26. 26th August 2023Two parallel lines are crossed by a straight line. One of a pair of co-interior (allied) angles is 85°. Work out the other.
  27. 27th August 2023The probability that it rains tomorrow is 1/10. Work out the probability that it does not rain.
  28. 28th August 2023A pie chart shows 18 people. 10 of them chose art. Work out the angle of that sector.
  29. 29th August 2023Work out 1/2 x 5/9. Give your answer in its simplest form.
  30. 30th August 2023A rectangle is x cm wide and 2 cm longer than it is wide. Write a simplified expression for its perimeter.
  31. 31st August 2023£1 is worth 1.85 Australian dollars. How many Australian dollars does £320 buy?

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