Daily Practice · Foundation

January 2023 - Foundation 5-a-day

Every Foundation sheet published in January 2023, with answers. Grades 3-4 - securing a Foundation pass: fractions, percentages, angles and the first algebra.

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January 2023

31 sheets · 155 questions · Grades 3-4

Printing for a group?

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

Every sheet in January 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 January 2023Between which two consecutive whole numbers does sqrt(43) lie?
  2. 2nd January 2023A sequence has nth term 8n + 8. Work out the 100th term.
  3. 3rd January 2023£1 is worth 1.08 Swiss francs. How many Swiss francs does £140 buy?
  4. 4th January 2023The point (8, 1) is rotated 180° about the origin. Write down the coordinates of the image.
  5. 5th January 2023Here are seven numbers: 14, 25, 19, 5, 28, 2, 7. Work out the median and the range.
  6. 6th January 2023Of 59 students, 20 study French, 34 study German and 6 study both. How many study neither?
  7. 7th January 2023Work out 1/2 x 5/9. Give your answer in its simplest form.
  8. 8th January 2023Solve the inequality 7x - 14 <= 14.
  9. 9th January 2023A recipe for 12 muffins uses 384 g of flour. How much flour is needed for 9 muffins?
  10. 10th January 2023Four angles meet at a point. Three of them are 110°, 77° and 41°. Work out the fourth.
  11. 11th January 2023A bag holds 4 red, 4 blue and 5 green counters. One is taken at random. Work out the probability it is green.
  12. 12th January 2023240 people were surveyed. 80 were adults, of whom 20 said yes. 75 of the children said yes. How many said yes altogether?
  13. 13th January 2023A length x is 26 cm, rounded to the nearest whole number. Write down the error interval for x.
  14. 14th January 2023Simplify 9a + 3b + 3a - 3b.
  15. 15th January 20233 identical notebooks cost £2.10. Work out the cost of 12 of the same notebooks.
  16. 16th January 2023A trapezium has parallel sides of 13 cm and 22 cm, 8 cm apart. Work out its area.
  17. 17th January 2023A biased coin lands on heads with probability 0.25. It is thrown 250 times. How many heads would you expect?
  18. 18th January 2023In a group of 150 students, 20 are boys. 10 boys and 40 girls bring a packed lunch. How many students do not?
  19. 19th January 2023Between which two consecutive whole numbers does sqrt(77) lie?
  20. 20th January 2023A line has equation y = 6x - 36. Write down where it crosses the x-axis and where it crosses the y-axis.
  21. 21st January 2023A model of a lorry is built to a scale of 1 : 25. The real length is 1.25 m. How long is the model, in cm?
  22. 22nd January 2023The point (2, -1) is reflected in the x-axis. Write down the coordinates of the image.
  23. 23rd January 2023Amelia has 4 scores with a mean of 13. Scores 7, 19, 9 are known. Work out the missing score.
  24. 24th January 2023In a survey 7 households own 1 car, 4 own 2 cars and 4 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  25. 25th January 2023Work out 3/5 divided by 2/3. Give your answer in its simplest form.
  26. 26th January 2023The angles in a triangle are 4x°, x° and (x + 96)°. Form an equation and work out x.
  27. 27th January 2023A 700 g bag of pasta costs £6.30. Work out the cost per 100 g.
  28. 28th January 2023The bearing of B from A is 124°. Work out the bearing of A from B.
  29. 29th January 2023The probability that it rains tomorrow is 1/5. Work out the probability that it does not rain.
  30. 30th January 2023A frequency polygon has plotted frequencies of 9, 7, 9 and 11. How many values are in the whole data set?
  31. 31st January 2023A length x is 770 cm, rounded to the nearest 10. Write down the error interval for x.

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