Daily Practice · Foundation

July 2023 - Foundation 5-a-day

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

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July 2023

31 sheets · 155 questions · Grades 3-4

Printing for a group?

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

Every sheet in July 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 July 2023Simplify 8a + 9b + 6a - 4b.
  2. 2nd July 2023£1 is worth 1.24 US dollars. How many US dollars does £80 buy?
  3. 3rd July 2023A goat is tied to a post in an open field by a rope 4 m long. Describe the region of grass it can reach.
  4. 4th July 2023A biased coin lands on heads with probability 0.2. It is thrown 250 times. How many heads would you expect?
  5. 5th July 2023On a bar chart each gridline square stands for 5 people. A bar is 2 squares tall. How many people does it show?
  6. 6th July 2023Work out 3/6 x 3/8. Give your answer in its simplest form.
  7. 7th July 2023A line has equation y = 5x - 20. Write down where it crosses the x-axis and where it crosses the y-axis.
  8. 8th July 2023A recipe for 6 flapjacks uses 120 g of flour. How much flour is needed for 20 flapjacks?
  9. 9th July 2023An L-shape is a 12 cm by 13 cm rectangle with a 8 cm by 6 cm rectangle cut out of one corner. Work out its area.
  10. 10th July 2023Amelia has 5 scores with a mean of 19. Scores 14, 16, 19, 24 are known. Work out the missing score.
  11. 11th July 2023A stem and leaf diagram has a single stem 3 with the leaves 1, 5, 6, 7, 9. Work out the median of the five values.
  12. 12th July 2023A length x is 52 cm, rounded to the nearest whole number. Write down the error interval for x.
  13. 13th July 2023The angles in a triangle are 4x°, 2x° and (x + 96)°. Form an equation and work out x.
  14. 14th July 20238 identical cupcakes cost £17.20. Work out the cost of 9 of the same cupcakes.
  15. 15th July 2023A cuboid measures 10 cm by 8 cm by 8 cm. Work out its total surface area.
  16. 16th July 2023The probability that it rains tomorrow is 1/10. Work out the probability that it does not rain.
  17. 17th July 2023A pie chart shows 24 items. One sector has an angle of 165°. How many items does it represent?
  18. 18th July 2023Between which two consecutive whole numbers does sqrt(26) lie?
  19. 19th July 2023A rectangle is x cm wide and 8 cm longer than it is wide. Write a simplified expression for its perimeter.
  20. 20th July 2023A model of a lorry is built to a scale of 1 : 25. The real length is 1 m. How long is the model, in cm?
  21. 21st July 2023The point (-4, 4) is rotated 90° clockwise about the origin. Write down the coordinates of the image.
  22. 22nd July 2023Using only the digits 1, 3, 8, 9 and no digit twice, how many different two-digit numbers can be made?
  23. 23rd July 2023Of 38 students, 26 study French, 20 study German and 10 study both. How many study neither?
  24. 24th July 2023Work out 5/9 divided by 1/7. Give your answer in its simplest form.
  25. 25th July 2023Use v = u + at with u = 10, a = 8 and t = 7. Work out v.
  26. 26th July 2023A 700 g bag of coffee costs £2.45. Work out the cost per 100 g.
  27. 27th July 2023Four angles meet at a point. Three of them are 136°, 119° and 58°. Work out the fourth.
  28. 28th July 2023Here are 7 numbers: 12, 19, 16, 17, 15, 13, 20. Work out the mean.
  29. 29th July 2023140 people were surveyed. 40 were adults, of whom 5 said yes. 20 of the children said yes. How many said yes altogether?
  30. 30th July 2023A length x is 9.7 cm, rounded to 1 decimal place. Write down the error interval for x.
  31. 31st July 2023A sequence has nth term 4n - 9. Work out the 50th term.

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