Daily Practice · Foundation Plus

December 2023 - Foundation Plus 5-a-day

Every Foundation Plus sheet published in December 2023, with answers. Grades 4-6 - the Foundation / Higher crossover zone.

← Today's Foundation Plus sheet

December 2023

31 sheets · 155 questions · Grades 4-6

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 2023A biased coin lands on heads with probability 0.2. It is thrown 50 times. How many heads would you expect?
  2. 2nd December 2023In a survey 2 households own 1 car, 2 own 2 cars and 5 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  3. 3rd December 2023A bill is £912 including VAT at 20%. Work out the amount before VAT.
  4. 4th December 2023Solve 7(x + 4) = 105.
  5. 5th December 2023Write the ratio 4 : 20 in the form 1 : n.
  6. 6th December 2023Four angles meet at a point. Three of them are 43°, 98° and 86°. Work out the fourth.
  7. 7th December 2023A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  8. 8th December 2023A box plot has a minimum of 13 and a maximum of 55. Work out the range.
  9. 9th December 2023Work out (36 x 10^9) / (6 x 10^2). Give your answer in standard form.
  10. 10th December 2023Use v = u + at with u = 13, a = 7 and t = 3. Work out v.
  11. 11th December 2023A coach travels 60 km in 0.5 hours, then 50 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
  12. 12th December 2023A prism has a triangular cross-section with base 16 cm and height 7 cm. The prism is 13 cm long. Work out its volume.
  13. 13th December 2023A bag holds 5 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  14. 14th December 2023A line of best fit on a scatter graph has equation y = 2x + 13. Use it to estimate y when x = 4.
  15. 15th December 2023A meal deal has 5 mains, 6 sides and 5 drinks. How many different meals are possible?
  16. 16th December 20234 teas and 3 cakes cost £14.30. 3 teas and 3 cakes cost £12.90. Find the price of a tea.
  17. 17th December 2023Zara drives 240 km in 4 hours. Work out the average speed in km/h.
  18. 18th December 2023Work out the size of one exterior angle of a regular hexagon.
  19. 19th December 2023A biased coin lands on heads with probability 0.4. It is thrown 250 times. How many heads would you expect?
  20. 20th December 2023Four classes in order have frequencies 10, 6, 4, 4. Write down the cumulative frequency at the end of the third class.
  21. 21st December 2023A bill is £456 including VAT at 20%. Work out the amount before VAT.
  22. 22nd December 2023For the curve y = 50/x, work out y when x = -10, and write down the equation of its vertical asymptote.
  23. 23rd December 2023Red and blue raffle tickets are in the ratio 4 : 9. There are 20 red raffle tickets. How many raffle tickets are there altogether?
  24. 24th December 2023The bearing of B from A is 233°. Work out the bearing of A from B.
  25. 25th December 2023A bag holds 9 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  26. 26th December 202360 newts are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
  27. 27th December 2023Work out (24 x 10^12) / (8 x 10^3). Give your answer in standard form.
  28. 28th December 2023Factorise x^2 - 64.
  29. 29th December 2023A map has a scale of 1 : 10000. Two villages are 7.5 cm apart on the map. How far apart are they in real life, in km?
  30. 30th December 2023A goat is tied to a post in an open field by a rope 11 m long. Describe the region of grass it can reach.
  31. 31st December 2023A bag holds 6 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.

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