Daily Practice · Foundation

December 2021 - Foundation 5-a-day

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

← Today's Foundation sheet

December 2021

31 sheets · 155 questions · Grades 3-4

Printing for a group?

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

Every sheet in December 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 December 2021Between which two consecutive whole numbers does sqrt(73) lie?
  2. 2nd December 2021The angles in a triangle are 4x°, 2x° and (x + 103)°. Form an equation and work out x.
  3. 3rd December 2021A 700 g bag of rice costs £7.35. Work out the cost per 100 g.
  4. 4th December 2021The point (-8, 1) is rotated 90° clockwise about the origin. Write down the coordinates of the image.
  5. 5th December 2021The probability that it rains tomorrow is 3/10. Work out the probability that it does not rain.
  6. 6th December 2021Of 53 students, 18 study French, 24 study German and 8 study both. How many study neither?
  7. 7th December 2021Work out 3/4 x 1/7. Give your answer in its simplest form.
  8. 8th December 2021A rectangle is x cm wide and 9 cm longer than it is wide. Write a simplified expression for its perimeter.
  9. 9th December 2021£1 is worth 1.08 Swiss francs. How many Swiss francs does £320 buy?
  10. 10th December 2021Four angles meet at a point. Three of them are 81°, 140° and 69°. Work out the fourth.
  11. 11th December 2021Using only the digits 4, 7, 2 and no digit twice, how many different two-digit numbers can be made?
  12. 12th December 2021230 people were surveyed. 60 were adults, of whom 20 said yes. 65 of the children said yes. How many said yes altogether?
  13. 13th December 2021A length x is 320 cm, rounded to the nearest 10. Write down the error interval for x.
  14. 14th December 2021Use v = u + at with u = 5, a = 4 and t = 4. Work out v.
  15. 15th December 2021A recipe for 4 flapjacks uses 68 g of flour. How much flour is needed for 9 flapjacks?
  16. 16th December 2021A trapezium has parallel sides of 6 cm and 17 cm, 4 cm apart. Work out its area.
  17. 17th December 2021Here are 5 numbers: 26, 21, 22, 31, 30. Work out the mean.
  18. 18th December 2021In a group of 120 students, 40 are boys. 20 boys and 25 girls bring a packed lunch. How many students do not?
  19. 19th December 2021Between which two consecutive whole numbers does sqrt(40) lie?
  20. 20th December 2021A sequence has nth term 2n + 7. Work out the 25th term.
  21. 21st December 20217 identical batteries cost £15.75. Work out the cost of 9 of the same batteries.
  22. 22nd December 2021The point (-2, -4) is reflected in the x-axis. Write down the coordinates of the image.
  23. 23rd December 2021Here are seven numbers: 4, 25, 5, 2, 8, 14, 11. Work out the median and the range.
  24. 24th December 2021In a survey 7 households own 1 car, 6 own 2 cars and 5 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  25. 25th December 2021Work out 6/7 divided by 4/6. Give your answer in its simplest form.
  26. 26th December 2021Solve the inequality 4x - 6 <= 6.
  27. 27th December 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?
  28. 28th December 2021The bearing of B from A is 251°. Work out the bearing of A from B.
  29. 29th December 2021A bag holds 4 red, 9 blue and 3 green counters. One is taken at random. Work out the probability it is red.
  30. 30th December 2021A frequency polygon has plotted frequencies of 3, 3, 3 and 8. How many values are in the whole data set?
  31. 31st December 2021A length x is 10.4 cm, rounded to 1 decimal place. Write down the error interval for x.

The same month at another level