Daily Practice · Foundation Plus

October 2023 - Foundation Plus 5-a-day

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

← Today's Foundation Plus sheet

October 2023

31 sheets · 155 questions · Grades 4-6

Printing for a group?

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

Every sheet in October 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 October 2023A prism has a triangular cross-section with base 10 cm and height 9 cm. The prism is 15 cm long. Work out its volume.
  2. 2nd October 2023A bag holds 6 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  3. 3rd October 2023A box plot has a minimum of 3 and a maximum of 25. Work out the range.
  4. 4th October 2023A meal deal has 7 mains, 7 sides and 3 drinks. How many different meals are possible?
  5. 5th October 2023Use v = u + at with u = 3, a = 4 and t = 5. Work out v.
  6. 6th October 2023A map has a scale of 1 : 10000. Two villages are 3 cm apart on the map. How far apart are they in real life, in km?
  7. 7th October 2023Work out the size of one exterior angle of a regular 12-sided polygon.
  8. 8th October 2023A biased coin lands on heads with probability 0.2. It is thrown 50 times. How many heads would you expect?
  9. 9th October 2023A line of best fit on a scatter graph has equation y = 5x + 17. Use it to estimate y when x = 9.
  10. 10th October 2023A bill is £288 including VAT at 20%. Work out the amount before VAT.
  11. 11th October 20234 teas and 2 cakes cost £14.50. 3 teas and 3 cakes cost £14.70. Find the price of a tea.
  12. 12th October 2023A pack of 8 batteries costs £4.40. A pack of 16 costs £8.16. Which pack is better value?
  13. 13th October 2023The bearing of B from A is 138°. Work out the bearing of A from B.
  14. 14th October 2023A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  15. 15th October 2023Four classes in order have frequencies 4, 6, 11, 9. Write down the cumulative frequency at the end of the third class.
  16. 16th October 2023Work out (14 x 10^12) / (2 x 10^2). Give your answer in standard form.
  17. 17th October 2023For the curve y = 2/x, work out y when x = -1, and write down the equation of its vertical asymptote.
  18. 18th October 2023Work out 25% of 280.
  19. 19th October 2023A goat is tied to a post in an open field by a rope 7 m long. Describe the region of grass it can reach.
  20. 20th October 2023A bag holds 5 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  21. 21st October 202335 newts are marked and released. Later 25 are caught, of which 5 are marked. Estimate the population.
  22. 22nd October 2023A meal deal has 6 mains, 4 sides and 6 drinks. How many different meals are possible?
  23. 23rd October 2023Factorise x^2 - 2x - 24.
  24. 24th October 2023Write the ratio 4 : 28 in the form 1 : n.
  25. 25th October 2023A trapezium has parallel sides of 4 cm and 11 cm, 12 cm apart. Work out its area.
  26. 26th October 2023A biased coin lands on heads with probability 0.15. It is thrown 250 times. How many heads would you expect?
  27. 27th October 2023A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
  28. 28th October 2023A bill is £744 including VAT at 20%. Work out the amount before VAT.
  29. 29th October 2023Does the point (-2, 3) satisfy y > -2x + 6?
  30. 30th October 2023A coach travels 60 km in 1 hour, then 40 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  31. 31st October 2023Four angles meet at a point. Three of them are 122°, 130° and 59°. Work out the fourth.

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