Daily Practice · Foundation

October 2023 - Foundation 5-a-day

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

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October 2023

31 sheets · 155 questions · Grades 3-4

Printing for a group?

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

Every sheet in October 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 October 2023Four angles meet at a point. Three of them are 59°, 40° and 119°. Work out the fourth.
  2. 2nd October 2023Leo has 5 scores with a mean of 16. Scores 15, 16, 11, 21 are known. Work out the missing score.
  3. 3rd October 2023220 people were surveyed. 70 were adults, of whom 20 said yes. 45 of the children said yes. How many said yes altogether?
  4. 4th October 2023Work out 2/3 x 7/8. Give your answer in its simplest form.
  5. 5th October 2023The angles in a triangle are 3x°, 3x° and (x + 12)°. Form an equation and work out x.
  6. 6th October 2023A recipe for 8 muffins uses 176 g of flour. How much flour is needed for 3 muffins?
  7. 7th October 2023A trapezium has parallel sides of 4 cm and 14 cm, 12 cm apart. Work out its area.
  8. 8th October 2023The probability that it rains tomorrow is 1/4. Work out the probability that it does not rain.
  9. 9th October 2023In a group of 60 students, 30 are boys. 10 boys and 10 girls bring a packed lunch. How many students do not?
  10. 10th October 2023A length x is 270 cm, rounded to the nearest 10. Write down the error interval for x.
  11. 11th October 2023A rectangle is x cm wide and 4 cm longer than it is wide. Write a simplified expression for its perimeter.
  12. 12th October 20233 identical batteries cost £1.65. Work out the cost of 2 of the same batteries.
  13. 13th October 2023The point (0, -5) is reflected in the y-axis. Write down the coordinates of the image.
  14. 14th October 2023Using only the digits 9, 8, 4 and no digit twice, how many different two-digit numbers can be made?
  15. 15th October 2023In a survey 4 households own 1 car, 3 own 2 cars and 7 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  16. 16th October 2023Between which two consecutive whole numbers does sqrt(110) lie?
  17. 17th October 2023Use v = u + at with u = 11, a = 7 and t = 7. Work out v.
  18. 18th October 2023A model of a narrowboat is built to a scale of 1 : 50. The real length is 3.5 m. How long is the model, in cm?
  19. 19th October 2023The bearing of B from A is 265°. Work out the bearing of A from B.
  20. 20th October 2023Here are 5 numbers: 7, 8, 19, 13, 18. Work out the mean.
  21. 21st October 2023A frequency polygon has plotted frequencies of 5, 9, 8 and 6. How many values are in the whole data set?
  22. 22nd October 2023Work out 7/8 divided by 6/8. Give your answer in its simplest form.
  23. 23rd October 2023A sequence has nth term 6n + 5. Work out the 25th term.
  24. 24th October 2023A 800 g bag of pasta costs £7.60. Work out the cost per 100 g.
  25. 25th October 2023A cuboid measures 10 cm by 13 cm by 6 cm. Work out its volume.
  26. 26th October 2023Here are seven numbers: 14, 13, 8, 11, 4, 5, 7. Work out the median and the range.
  27. 27th October 2023A scatter graph plots the temperature outside and the number of hot drinks sold. What type of correlation would you expect?
  28. 28th October 2023A length x is 7 cm, rounded to 1 decimal place. Write down the error interval for x.
  29. 29th October 2023Solve the inequality 4x - 15 <= 1.
  30. 30th October 2023£1 is worth 1.08 Swiss francs. How many Swiss francs does £200 buy?
  31. 31st October 2023Two parallel lines are crossed by a straight line. One of a pair of co-interior (allied) angles is 113°. Work out the other.

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