Daily Practice · Foundation Plus

January 1960 5-a-day

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January 1960

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' January 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in January 1960

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 1960Four classes in order have frequencies 6, 10, 4, 11. Write down the cumulative frequency at the end of the third class.
  2. 2nd January 1960A bill is £864 including VAT at 20%. Work out the amount before VAT.
  3. 3rd January 1960For the curve y = 24/x, work out y when x = 2, and write down the equation of its vertical asymptote.
  4. 4th January 1960A coach travels 90 km in 1 hour, then 20 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  5. 5th January 1960The bearing of B from A is 106°. Work out the bearing of A from B.
  6. 6th January 1960A bag holds 4 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  7. 7th January 196055 newts are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.
  8. 8th January 1960Work out (14 x 10^11) / (7 x 10^4). Give your answer in standard form.
  9. 9th January 1960Factorise x^2 - 2x - 24.
  10. 10th January 1960Nia drives 135 km in 3 hours. Work out the average speed in km/h.
  11. 11th January 1960A goat is tied to a post in an open field by a rope 7 m long. Describe the region of grass it can reach.
  12. 12th January 1960A bag holds 4 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  13. 13th January 1960A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
  14. 14th January 1960A meal deal has 7 mains, 4 sides and 4 drinks. How many different meals are possible?
  15. 15th January 1960Does the point (5, -4) satisfy y > 2x - 7?
  16. 16th January 1960Red and blue marbles are in the ratio 5 : 8. There are 40 red marbles. How many marbles are there altogether?
  17. 17th January 1960A trapezium has parallel sides of 5 cm and 8 cm, 16 cm apart. Work out its area.
  18. 18th January 1960A biased coin lands on heads with probability 0.1. It is thrown 500 times. How many heads would you expect?
  19. 19th January 1960140 people were surveyed. 40 were adults, of whom 10 said yes. 45 of the children said yes. How many said yes altogether?
  20. 20th January 1960A bill is £792 including VAT at 20%. Work out the amount before VAT.
  21. 21st January 1960A line has gradient 2 and passes through (5, 17). Work out its equation.
  22. 22nd January 1960A map has a scale of 1 : 50000. Two villages are 8 cm apart on the map. How far apart are they in real life, in km?
  23. 23rd January 1960Four angles meet at a point. Three of them are 56°, 47° and 217°. Work out the fourth.
  24. 24th January 1960A bag holds 7 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  25. 25th January 1960A box plot has minimum 2, lower quartile 12, median 18, upper quartile 22 and maximum 25. Work out the interquartile range.
  26. 26th January 1960Work out (21 x 10^7) / (7 x 10^4). Give your answer in standard form.
  27. 27th January 1960Make x the subject of y = 2x^2 - 12.
  28. 28th January 1960A pack of 5 teabags costs £2.75. A pack of 20 costs £9.80. Which pack is better value?
  29. 29th January 1960A prism has a triangular cross-section with base 10 cm and height 11 cm. The prism is 8 cm long. Work out its volume.
  30. 30th January 1960A bag holds 3 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  31. 31st January 1960A scatter graph plots a phone's age and its resale value. What type of correlation would you expect?

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