Daily Practice · Foundation

July 2026 - Foundation 5-a-day

Every Foundation sheet published in July 2026, with answers. Grades 3-4 - securing a Foundation pass: fractions, percentages, angles and the first algebra.

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July 2026

31 sheets · 155 questions · Grades 3-4

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The batch download puts all 5 tiers' July 2026 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in July 2026

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

  1. 1st July 2026In a survey 6 households own 1 car, 9 own 2 cars and 3 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  2. 2nd July 2026Between which two consecutive whole numbers does sqrt(138) lie?
  3. 3rd July 2026A line has equation y = 5x - 10. Write down where it crosses the x-axis and where it crosses the y-axis.
  4. 4th July 2026A model of an aircraft is built to a scale of 1 : 50. The real length is 5.5 m. How long is the model, in cm?
  5. 5th July 2026The bearing of B from A is 264°. Work out the bearing of A from B.
  6. 6th July 2026Leo has 5 scores with a mean of 11. Scores 15, 6, 7, 16 are known. Work out the missing score.
  7. 7th July 2026A frequency polygon has plotted frequencies of 2, 11, 12 and 4. How many values are in the whole data set?
  8. 8th July 2026Work out 7/9 divided by 5/6. Give your answer in its simplest form.
  9. 9th July 2026The angles in a triangle are 2x°, x° and (x + 40)°. Form an equation and work out x.
  10. 10th July 2026A 800 g bag of coffee costs £5.60. Work out the cost per 100 g.
  11. 11th July 2026A cuboid measures 5 cm by 4 cm by 15 cm. Work out its volume.
  12. 12th July 2026The probability that it rains tomorrow is 1/10. Work out the probability that it does not rain.
  13. 13th July 2026A scatter graph plots the day of the month and the temperature at noon. What type of correlation would you expect?
  14. 14th July 2026A length x is 19.2 cm, rounded to 1 decimal place. Write down the error interval for x.
  15. 15th July 2026A rectangle is x cm wide and 3 cm longer than it is wide. Write a simplified expression for its perimeter.
  16. 16th July 2026£1 is worth 1.24 US dollars. How many US dollars does £200 buy?
  17. 17th July 2026Two parallel lines are crossed by a straight line. One of a pair of co-interior (allied) angles is 77°. Work out the other.
  18. 18th July 2026Using only the digits 8, 9, 6 and no digit twice, how many different two-digit numbers can be made?
  19. 19th July 2026A pie chart shows 45 people. 27 of them chose maths. Work out the angle of that sector.
  20. 20th July 2026Between which two consecutive whole numbers does sqrt(140) lie?
  21. 21st July 2026Use v = u + at with u = 4, a = 4 and t = 2. Work out v.
  22. 22nd July 2026A recipe for 4 flapjacks uses 84 g of flour. How much flour is needed for 9 flapjacks?
  23. 23rd July 2026Two of the angles in a triangle are 64° and 80°. Work out the third angle.
  24. 24th July 2026Here are 6 numbers: 32, 34, 26, 33, 28, 27. Work out the mean.
  25. 25th July 2026200 students were asked how they travel. 20 walked, and of those 5 were late. How many walkers were on time?
  26. 26th July 2026Work out 4/5 x 1/8. Give your answer in its simplest form.
  27. 27th July 2026A sequence has nth term 2n + 2. Work out the 50th term.
  28. 28th July 20267 identical pens cost £4.90. Work out the cost of 8 of the same pens.
  29. 29th July 2026A goat is tied to a post in an open field by a rope 4 m long. Describe the region of grass it can reach.
  30. 30th July 2026Here are seven numbers: 5, 11, 8, 17, 19, 14, 25. Work out the median and the range.
  31. 31st July 2026On a bar chart each gridline square stands for 50 people. A bar is 2 squares tall. How many people does it show?

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