Daily Practice · Foundation Plus

January 2018 - Foundation Plus 5-a-day

Every Foundation Plus sheet published in January 2018, with answers. Grades 4-6 - the Foundation / Higher crossover zone.

← Today's Foundation Plus sheet

January 2018

31 sheets · 155 questions · Grades 4-6

Printing for a group?

The batch download puts all 5 tiers' January 2018 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in January 2018

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st January 2018A biased coin lands on heads with probability 0.4. It is thrown 500 times. How many heads would you expect?
  2. 2nd January 2018Four classes in order have frequencies 6, 4, 5, 6. Write down the cumulative frequency at the end of the third class.
  3. 3rd January 2018A bill is £48 including VAT at 20%. Work out the amount before VAT.
  4. 4th January 2018For the curve y = -20/x, work out y when x = -2, and write down the equation of its vertical asymptote.
  5. 5th January 2018A 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?
  6. 6th January 2018Four angles meet at a point. Three of them are 102°, 50° and 44°. Work out the fourth.
  7. 7th January 2018A bag holds 6 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  8. 8th January 201855 newts are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
  9. 9th January 2018Work out (49 x 10^10) / (7 x 10^4). Give your answer in standard form.
  10. 10th January 2018Factorise x^2 + 3x - 40.
  11. 11th January 2018A pack of 7 teabags costs £3.85. A pack of 21 costs £10.50. Which pack is better value?
  12. 12th January 2018A prism has a triangular cross-section with base 12 cm and height 14 cm. The prism is 8 cm long. Work out its volume.
  13. 13th January 2018A bag holds 2 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  14. 14th January 2018A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
  15. 15th January 2018A meal deal has 7 mains, 7 sides and 5 drinks. How many different meals are possible?
  16. 16th January 2018Does the point (1, 4) satisfy y > 2x - 3?
  17. 17th January 2018Work out 20% of 100.
  18. 18th January 2018Work out the size of one exterior angle of a regular pentagon.
  19. 19th January 2018A biased coin lands on heads with probability 0.4. It is thrown 50 times. How many heads would you expect?
  20. 20th January 2018160 people were surveyed. 30 were adults, of whom 15 said yes. 20 of the children said yes. How many said yes altogether?
  21. 21st January 2018A bill is £144 including VAT at 20%. Work out the amount before VAT.
  22. 22nd January 2018A line has gradient -2 and passes through (5, -19). Work out its equation.
  23. 23rd January 2018Write the ratio 7 : 63 in the form 1 : n.
  24. 24th January 2018The bearing of B from A is 138°. Work out the bearing of A from B.
  25. 25th January 2018A bag holds 7 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  26. 26th January 2018A box plot has minimum 9, lower quartile 14, median 16, upper quartile 24 and maximum 32. Work out the interquartile range.
  27. 27th January 2018Work out (9 x 10^11) / (3 x 10^3). Give your answer in standard form.
  28. 28th January 2018Make x the subject of y = 5x^2 - 6.
  29. 29th January 2018A coach travels 90 km in 1 hour, then 40 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  30. 30th January 2018A goat is tied to a post in an open field by a rope 8 m long. Describe the region of grass it can reach.
  31. 31st January 2018A bag holds 4 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.

The same month at another level