Daily Practice · Foundation

August 2021 - Foundation 5-a-day

Every Foundation sheet published in August 2021, with answers. Grades 3-4 - securing a Foundation pass: fractions, percentages, angles and the first algebra.

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August 2021

31 sheets · 155 questions · Grades 3-4

Printing for a group?

The batch download puts all 5 tiers' August 2021 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in August 2021

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 2021The probability that it rains tomorrow is 7/10. Work out the probability that it does not rain.
  2. 2nd August 2021180 people were surveyed. 40 were adults, of whom 20 said yes. 65 of the children said yes. How many said yes altogether?
  3. 3rd August 2021Work out 4/7 divided by 6/8. Give your answer in its simplest form.
  4. 4th August 2021A rectangle is x cm wide and 5 cm longer than it is wide. Write a simplified expression for its perimeter.
  5. 5th August 2021A 500 g bag of rice costs £1.50. Work out the cost per 100 g.
  6. 6th August 2021A trapezium has parallel sides of 6 cm and 10 cm, 14 cm apart. Work out its area.
  7. 7th August 2021Using only the digits 8, 3, 1, 9 and no digit twice, how many different two-digit numbers can be made?
  8. 8th August 2021In a group of 60 students, 40 are boys. 20 boys and 5 girls bring a packed lunch. How many students do not?
  9. 9th August 2021A length x is 34 cm, rounded to the nearest whole number. Write down the error interval for x.
  10. 10th August 2021Use v = u + at with u = 3, a = 8 and t = 5. Work out v.
  11. 11th August 2021£1 is worth 1.15 euros. How many euros does £340 buy?
  12. 12th August 2021The point (5, 4) is reflected in the y-axis. Write down the coordinates of the image.
  13. 13th August 2021Here are 7 numbers: 18, 22, 26, 26, 18, 18, 26. Work out the mean.
  14. 14th August 2021In a survey 6 households own 1 car, 5 own 2 cars and 7 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  15. 15th August 2021Between which two consecutive whole numbers does sqrt(55) lie?
  16. 16th August 2021A sequence has nth term 7n + 5. Work out the 12th term.
  17. 17th August 2021A recipe for 12 flapjacks uses 480 g of flour. How much flour is needed for 20 flapjacks?
  18. 18th August 2021The bearing of B from A is 342°. Work out the bearing of A from B.
  19. 19th August 2021Here are seven numbers: 28, 17, 8, 19, 7, 4, 11. Work out the median and the range.
  20. 20th August 2021A frequency polygon has plotted frequencies of 10, 12, 6 and 7. How many values are in the whole data set?
  21. 21st August 2021Work out 3/4 divided by 7/9. Give your answer in its simplest form.
  22. 22nd August 2021Solve the inequality 3x - 2 < 40.
  23. 23rd August 20217 identical notebooks cost £12.95. Work out the cost of 7 of the same notebooks.
  24. 24th August 2021A cuboid measures 12 cm by 3 cm by 15 cm. Work out its volume.
  25. 25th August 2021A bag holds 3 red, 5 blue and 7 green counters. One is taken at random. Work out the probability it is blue.
  26. 26th August 2021A scatter graph plots the number of hours revised and the test mark. What type of correlation would you expect?
  27. 27th August 2021A length x is 410 cm, rounded to the nearest 10. Write down the error interval for x.
  28. 28th August 2021Simplify 9a + 5b + 7a - 1b.
  29. 29th August 2021A model of an aircraft is built to a scale of 1 : 20. The real length is 0.8 m. How long is the model, in cm?
  30. 30th August 2021Two parallel lines are crossed by a straight line. One of a pair of co-interior (allied) angles is 42°. Work out the other.
  31. 31st August 2021A biased coin lands on heads with probability 0.1. It is thrown 100 times. How many heads would you expect?

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