Daily Practice · Foundation

September 2023 - Foundation 5-a-day

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

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September 2023

30 sheets · 150 questions · Grades 3-4

Printing for a group?

The batch download puts all 5 tiers' September 2023 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in September 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 September 2023Two of the angles in a triangle are 28° and 78°. Work out the third angle.
  2. 2nd September 2023Using only the digits 5, 3, 8 and no digit twice, how many different two-digit numbers can be made?
  3. 3rd September 202380 students were asked how they travel. 40 walked, and of those 5 were late. How many walkers were on time?
  4. 4th September 2023A length x is 20 cm, rounded to the nearest whole number. Write down the error interval for x.
  5. 5th September 2023Use v = u + at with u = 3, a = 3 and t = 2. Work out v.
  6. 6th September 2023A recipe for 12 scones uses 408 g of flour. How much flour is needed for 15 scones?
  7. 7th September 2023A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
  8. 8th September 2023Here are 6 numbers: 29, 35, 33, 27, 31, 25. Work out the mean.
  9. 9th September 2023On a bar chart each gridline square stands for 20 people. A bar is 9 squares tall. How many people does it show?
  10. 10th September 2023Between which two consecutive whole numbers does sqrt(24) lie?
  11. 11th September 2023A sequence has nth term 3n + 11. Work out the 50th term.
  12. 12th September 20234 identical pens cost £9.20. Work out the cost of 11 of the same pens.
  13. 13th September 2023An L-shape is a 12 cm by 10 cm rectangle with a 7 cm by 7 cm rectangle cut out of one corner. Work out its area.
  14. 14th September 2023Here are seven numbers: 25, 7, 22, 19, 2, 13, 28. Work out the median and the range.
  15. 15th September 2023A stem and leaf diagram has a single stem 4 with the leaves 1, 6, 7, 8, 9. Work out the median of the five values.
  16. 16th September 2023Work out 3/5 divided by 2/4. Give your answer in its simplest form.
  17. 17th September 2023Solve the inequality 8x - 5 <= 83.
  18. 18th September 2023A model of a narrowboat is built to a scale of 1 : 25. The real length is 3 m. How long is the model, in cm?
  19. 19th September 2023A cuboid measures 8 cm by 10 cm by 8 cm. Work out its total surface area.
  20. 20th September 2023A bag holds 3 red, 8 blue and 8 green counters. One is taken at random. Work out the probability it is blue.
  21. 21st September 2023A pie chart shows 60 items. One sector has an angle of 72°. How many items does it represent?
  22. 22nd September 2023A length x is 670 cm, rounded to the nearest 10. Write down the error interval for x.
  23. 23rd September 2023Simplify 4a + 9b + 9a - 8b.
  24. 24th September 2023A 500 g bag of coffee costs £4.00. Work out the cost per 100 g.
  25. 25th September 2023The point (4, -7) is rotated 90° anticlockwise about the origin. Write down the coordinates of the image.
  26. 26th September 2023A biased coin lands on heads with probability 0.2. It is thrown 200 times. How many heads would you expect?
  27. 27th September 2023Of 43 students, 21 study French, 22 study German and 7 study both. How many study neither?
  28. 28th September 2023Between which two consecutive whole numbers does sqrt(125) lie?
  29. 29th September 2023A line has equation y = 6x - 24. Write down where it crosses the x-axis and where it crosses the y-axis.
  30. 30th September 2023£1 is worth 1.85 Australian dollars. How many Australian dollars does £160 buy?

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