Daily Practice · Foundation

December 2023 - Foundation 5-a-day

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

← Today's Foundation sheet

December 2023

31 sheets · 155 questions · Grades 3-4

Printing for a group?

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

Every sheet in December 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 December 2023Here are 6 numbers: 24, 18, 16, 22, 18, 22. Work out the mean.
  2. 2nd December 2023Of 38 students, 15 study French, 25 study German and 6 study both. How many study neither?
  3. 3rd December 2023A length x is 15.8 cm, rounded to 1 decimal place. Write down the error interval for x.
  4. 4th December 2023A sequence has nth term 3n - 2. Work out the 100th term.
  5. 5th December 2023A recipe for 4 scones uses 176 g of flour. How much flour is needed for 20 scones?
  6. 6th December 2023Four angles meet at a point. Three of them are 40°, 124° and 62°. Work out the fourth.
  7. 7th December 2023Here are seven numbers: 8, 25, 22, 28, 19, 7, 2. Work out the median and the range.
  8. 8th December 2023160 people were surveyed. 90 were adults, of whom 10 said yes. 5 of the children said yes. How many said yes altogether?
  9. 9th December 2023Between which two consecutive whole numbers does sqrt(140) lie?
  10. 10th December 2023Solve the inequality 3x + 11 >= 17.
  11. 11th December 20233 identical cupcakes cost £5.55. Work out the cost of 9 of the same cupcakes.
  12. 12th December 2023A trapezium has parallel sides of 12 cm and 20 cm, 6 cm apart. Work out its area.
  13. 13th December 2023A bag holds 4 red, 4 blue and 6 green counters. One is taken at random. Work out the probability it is red.
  14. 14th December 2023In a group of 120 students, 30 are boys. 5 boys and 15 girls bring a packed lunch. How many students do not?
  15. 15th December 2023Work out 2/5 x 5/7. Give your answer in its simplest form.
  16. 16th December 2023Simplify 5a + 6b + 8a - 3b.
  17. 17th December 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?
  18. 18th December 2023The point (5, -1) is reflected in the y-axis. Write down the coordinates of the image.
  19. 19th December 2023A biased coin lands on heads with probability 0.15. It is thrown 500 times. How many heads would you expect?
  20. 20th December 2023In a survey 8 households own 1 car, 7 own 2 cars and 4 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  21. 21st December 2023A length x is 320 cm, rounded to the nearest 10. Write down the error interval for x.
  22. 22nd December 2023A line has equation y = 2x - 4. Write down where it crosses the x-axis and where it crosses the y-axis.
  23. 23rd December 2023A 400 g bag of oats costs £3.00. Work out the cost per 100 g.
  24. 24th December 2023The bearing of B from A is 313°. Work out the bearing of A from B.
  25. 25th December 2023Aisha has 5 scores with a mean of 11. Scores 14, 11, 8, 13 are known. Work out the missing score.
  26. 26th December 2023A frequency polygon has plotted frequencies of 7, 8, 3 and 9. How many values are in the whole data set?
  27. 27th December 2023Between which two consecutive whole numbers does sqrt(23) lie?
  28. 28th December 2023The angles in a triangle are 3x°, x° and (x + 15)°. Form an equation and work out x.
  29. 29th December 2023£1 is worth 1.15 euros. How many euros does £360 buy?
  30. 30th December 2023A cuboid measures 3 cm by 15 cm by 5 cm. Work out its volume.
  31. 31st December 2023The probability that it rains tomorrow is 1/2. Work out the probability that it does not rain.

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