Daily Practice · Foundation Plus

December 2016 - Foundation Plus 5-a-day

Every Foundation Plus sheet published in December 2016, with answers. Grades 4-6 - the Foundation / Higher crossover zone.

← Today's Foundation Plus sheet

December 2016

31 sheets · 155 questions · Grades 4-6

Printing for a group?

The batch download puts all 5 tiers' December 2016 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 2016

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 2016A biased coin lands on heads with probability 0.2. It is thrown 200 times. How many heads would you expect?
  2. 2nd December 2016Four classes in order have frequencies 4, 5, 6, 9. Write down the cumulative frequency at the end of the third class.
  3. 3rd December 2016A bill is £312 including VAT at 20%. Work out the amount before VAT.
  4. 4th December 2016For the curve y = 9/x, work out y when x = 1, and write down the equation of its vertical asymptote.
  5. 5th December 2016A coach travels 60 km in 0.5 hours, then 30 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  6. 6th December 2016Four angles meet at a point. Three of them are 83°, 56° and 69°. Work out the fourth.
  7. 7th December 2016A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  8. 8th December 201640 fish are marked and released. Later 16 are caught, of which 2 are marked. Estimate the population.
  9. 9th December 2016Work out (18 x 10^11) / (6 x 10^3). Give your answer in standard form.
  10. 10th December 2016Factorise x^2 - 2x - 15.
  11. 11th December 2016Kwame drives 100 km in 2.5 hours. Work out the average speed in km/h.
  12. 12th December 2016A prism has a triangular cross-section with base 8 cm and height 13 cm. The prism is 20 cm long. Work out its volume.
  13. 13th December 2016A bag holds 4 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  14. 14th December 2016A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
  15. 15th December 2016A meal deal has 9 mains, 3 sides and 3 drinks. How many different meals are possible?
  16. 16th December 2016Does the point (-1, -8) satisfy y > -4x - 8?
  17. 17th December 2016Red and blue sweets are in the ratio 4 : 5. There are 44 red sweets. How many sweets are there altogether?
  18. 18th December 2016Work out the size of one exterior angle of a regular nonagon.
  19. 19th December 2016A biased coin lands on heads with probability 0.2. It is thrown 200 times. How many heads would you expect?
  20. 20th December 2016190 people were surveyed. 50 were adults, of whom 25 said yes. 30 of the children said yes. How many said yes altogether?
  21. 21st December 2016A bill is £816 including VAT at 20%. Work out the amount before VAT.
  22. 22nd December 2016A line has gradient -3 and passes through (4, -7). Work out its equation.
  23. 23rd December 2016A map has a scale of 1 : 50000. Two villages are 5 cm apart on the map. How far apart are they in real life, in km?
  24. 24th December 2016The bearing of B from A is 243°. Work out the bearing of A from B.
  25. 25th December 2016A bag holds 10 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  26. 26th December 2016A box plot has minimum 5, lower quartile 7, median 16, upper quartile 19 and maximum 27. Work out the interquartile range.
  27. 27th December 2016Work out (16 x 10^12) / (2 x 10^5). Give your answer in standard form.
  28. 28th December 2016Make x the subject of y = 4x^2 - 12.
  29. 29th December 2016A pack of 9 pencils costs £1.80. A pack of 27 costs £4.86. Which pack is better value?
  30. 30th December 2016A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  31. 31st December 2016A bag holds 8 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.

The same month at another level