Daily Practice · Foundation

June 2023 - Foundation 5-a-day

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

← Today's Foundation sheet

June 2023

30 sheets · 150 questions · Grades 3-4

Printing for a group?

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

Every sheet in June 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 June 2023The angles in a triangle are 2x°, 2x° and (x + 50)°. Form an equation and work out x.
  2. 2nd June 2023£1 is worth 1.15 euros. How many euros does £600 buy?
  3. 3rd June 2023The point (2, 3) is reflected in the y-axis. Write down the coordinates of the image.
  4. 4th June 2023The probability that it rains tomorrow is 2/5. Work out the probability that it does not rain.
  5. 5th June 2023In a survey 6 households own 1 car, 8 own 2 cars and 7 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  6. 6th June 2023A length x is 69 cm, rounded to the nearest whole number. Write down the error interval for x.
  7. 7th June 2023A rectangle is x cm wide and 7 cm longer than it is wide. Write a simplified expression for its perimeter.
  8. 8th June 2023A recipe for 8 muffins uses 240 g of flour. How much flour is needed for 20 muffins?
  9. 9th June 2023The bearing of B from A is 148°. Work out the bearing of A from B.
  10. 10th June 2023Using only the digits 5, 2, 1, 9 and no digit twice, how many different two-digit numbers can be made?
  11. 11th June 2023A frequency polygon has plotted frequencies of 4, 10, 9 and 6. How many values are in the whole data set?
  12. 12th June 2023Between which two consecutive whole numbers does sqrt(106) lie?
  13. 13th June 2023Use v = u + at with u = 4, a = 5 and t = 6. Work out v.
  14. 14th June 20234 identical pens cost £5.00. Work out the cost of 6 of the same pens.
  15. 15th June 2023A cuboid measures 11 cm by 7 cm by 3 cm. Work out its volume.
  16. 16th June 2023Here are 7 numbers: 16, 21, 20, 23, 28, 24, 22. Work out the mean.
  17. 17th June 2023A scatter graph plots the number of hours revised and the test mark. What type of correlation would you expect?
  18. 18th June 2023Work out 1/5 divided by 1/4. Give your answer in its simplest form.
  19. 19th June 2023A sequence has nth term 5n - 3. Work out the 12th term.
  20. 20th June 2023A model of a narrowboat is built to a scale of 1 : 25. The real length is 2.75 m. How long is the model, in cm?
  21. 21st June 2023Two parallel lines are crossed by a straight line. One of a pair of co-interior (allied) angles is 131°. Work out the other.
  22. 22nd June 2023Here are seven numbers: 17, 14, 5, 19, 2, 7, 25. Work out the median and the range.
  23. 23rd June 2023A pie chart shows 36 people. 4 of them chose French. Work out the angle of that sector.
  24. 24th June 2023A length x is 88 cm, rounded to the nearest whole number. Write down the error interval for x.
  25. 25th June 2023Solve the inequality 3x - 2 < 22.
  26. 26th June 2023A 400 g bag of rice costs £4.60. Work out the cost per 100 g.
  27. 27th June 2023Two of the angles in a triangle are 88° and 48°. Work out the third angle.
  28. 28th June 2023A bag holds 8 red, 9 blue and 4 green counters. One is taken at random. Work out the probability it is green.
  29. 29th June 2023190 students were asked how they travel. 20 walked, and of those 10 were late. How many walkers were on time?
  30. 30th June 2023Between which two consecutive whole numbers does sqrt(15) lie?

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