Daily Practice · Foundation

October 2021 - Foundation 5-a-day

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

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October 2021

31 sheets · 155 questions · Grades 3-4

Printing for a group?

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

Every sheet in October 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 October 2021Of 46 students, 19 study French, 16 study German and 7 study both. How many study neither?
  2. 2nd October 2021A length x is 400 cm, rounded to the nearest 10. Write down the error interval for x.
  3. 3rd October 2021Solve the inequality 6x - 10 > 2.
  4. 4th October 2021A 300 g bag of rice costs £3.00. Work out the cost per 100 g.
  5. 5th October 2021Four angles meet at a point. Three of them are 68°, 90° and 50°. Work out the fourth.
  6. 6th October 2021A bag holds 9 red, 8 blue and 4 green counters. One is taken at random. Work out the probability it is blue.
  7. 7th October 2021120 people were surveyed. 50 were adults, of whom 20 said yes. 35 of the children said yes. How many said yes altogether?
  8. 8th October 2021Between which two consecutive whole numbers does sqrt(158) lie?
  9. 9th October 2021Simplify 9a + 4b + 2a - 9b.
  10. 10th October 2021£1 is worth 1.08 Swiss francs. How many Swiss francs does £100 buy?
  11. 11th October 2021A trapezium has parallel sides of 5 cm and 15 cm, 12 cm apart. Work out its area.
  12. 12th October 2021A biased coin lands on heads with probability 0.2. It is thrown 500 times. How many heads would you expect?
  13. 13th October 2021In a group of 140 students, 30 are boys. 10 boys and 35 girls bring a packed lunch. How many students do not?
  14. 14th October 2021Work out 1/4 divided by 4/9. Give your answer in its simplest form.
  15. 15th October 2021A line has equation y = 4x - 12. Write down where it crosses the x-axis and where it crosses the y-axis.
  16. 16th October 2021A recipe for 6 muffins uses 162 g of flour. How much flour is needed for 20 muffins?
  17. 17th October 2021The point (-3, 2) is reflected in the x-axis. Write down the coordinates of the image.
  18. 18th October 2021Yusuf has 4 scores with a mean of 15. Scores 13, 21, 9 are known. Work out the missing score.
  19. 19th October 2021In a survey 8 households own 1 car, 6 own 2 cars and 5 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  20. 20th October 2021A length x is 590 cm, rounded to the nearest 10. Write down the error interval for x.
  21. 21st October 2021The angles in a triangle are 4x°, x° and (x + 48)°. Form an equation and work out x.
  22. 22nd October 20217 identical batteries cost £8.40. Work out the cost of 8 of the same batteries.
  23. 23rd October 2021The bearing of B from A is 215°. Work out the bearing of A from B.
  24. 24th October 2021The probability that it rains tomorrow is 1/8. Work out the probability that it does not rain.
  25. 25th October 2021A frequency polygon has plotted frequencies of 10, 12, 12 and 4. How many values are in the whole data set?
  26. 26th October 2021Between which two consecutive whole numbers does sqrt(219) lie?
  27. 27th October 2021A rectangle is x cm wide and 2 cm longer than it is wide. Write a simplified expression for its perimeter.
  28. 28th October 2021A model of a bridge is built to a scale of 1 : 20. The real length is 0.6 m. How long is the model, in cm?
  29. 29th October 2021A cuboid measures 7 cm by 15 cm by 2 cm. Work out its volume.
  30. 30th October 2021Using only the digits 6, 1, 5 and no digit twice, how many different two-digit numbers can be made?
  31. 31st October 2021A scatter graph plots the temperature outside and the number of hot drinks sold. What type of correlation would you expect?

The same month at another level