Daily Practice · Foundation Plus

October 1967 5-a-day

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October 1967

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' October 1967 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in October 1967

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 1967Four angles meet at a point. Three of them are 94°, 107° and 43°. Work out the fourth.
  2. 2nd October 1967A bag holds 7 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  3. 3rd October 1967A line of best fit on a scatter graph has equation y = 3x + 21. Use it to estimate y when x = 10.
  4. 4th October 1967Work out (36 x 10^10) / (4 x 10^3). Give your answer in standard form.
  5. 5th October 19673 teas and 1 cake cost £4.55. 3 teas and 2 cakes cost £5.95. Find the price of a tea.
  6. 6th October 1967A map has a scale of 1 : 50000. Two villages are 14.5 cm apart on the map. How far apart are they in real life, in km?
  7. 7th October 1967A prism has a triangular cross-section with base 14 cm and height 6 cm. The prism is 9 cm long. Work out its volume.
  8. 8th October 1967A bag holds 2 red and 9 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  9. 9th October 1967Four classes in order have frequencies 8, 5, 6, 3. Write down the cumulative frequency at the end of the third class.
  10. 10th October 1967A meal deal has 4 mains, 7 sides and 2 drinks. How many different meals are possible?
  11. 11th October 1967For the curve y = -60/x, work out y when x = -10, and write down the equation of its vertical asymptote.
  12. 12th October 1967A pack of 12 sponges costs £3.60. A pack of 48 costs £12.00. Which pack is better value?
  13. 13th October 1967Work out the size of one exterior angle of a regular nonagon.
  14. 14th October 1967A biased coin lands on heads with probability 0.25. It is thrown 200 times. How many heads would you expect?
  15. 15th October 196750 newts are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
  16. 16th October 1967A bill is £792 including VAT at 20%. Work out the amount before VAT.
  17. 17th October 1967Factorise x^2 - 10x + 25.
  18. 18th October 1967Work out 20% of 380.
  19. 19th October 1967The bearing of B from A is 075°. Work out the bearing of A from B.
  20. 20th October 1967A bag holds 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  21. 21st October 1967A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
  22. 22nd October 1967Work out (32 x 10^11) / (4 x 10^4). Give your answer in standard form.
  23. 23rd October 1967Does the point (-4, -10) satisfy y > 2x + 2?
  24. 24th October 1967Write the ratio 2 : 10 in the form 1 : n.
  25. 25th October 1967A goat is tied to a post in an open field by a rope 8 m long. Describe the region of grass it can reach.
  26. 26th October 1967A bag holds 3 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  27. 27th October 1967180 people were surveyed. 50 were adults, of whom 15 said yes. 10 of the children said yes. How many said yes altogether?
  28. 28th October 1967A meal deal has 4 mains, 9 sides and 5 drinks. How many different meals are possible?
  29. 29th October 1967A line has gradient 2 and passes through (4, 14). Work out its equation.
  30. 30th October 1967A coach travels 80 km in 0.5 hours, then 80 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  31. 31st October 1967A trapezium has parallel sides of 4 cm and 12 cm, 10 cm apart. Work out its area.

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