Daily Practice · Foundation Plus
August 2023 - Foundation Plus 5-a-day
Every Foundation Plus sheet published in August 2023, with answers. Grades 4-6 - the Foundation / Higher crossover zone.
Printing for a group?
The batch download puts all 5 tiers' August 2023 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2023Write the ratio 8 : 32 in the form 1 : n.
- 2nd August 2023The bearing of B from A is 079°. Work out the bearing of A from B.
- 3rd August 2023A bag holds 5 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
- 4th August 2023A line of best fit on a scatter graph has equation y = 9x + 30. Use it to estimate y when x = 8.
- 5th August 2023Work out (24 x 10^11) / (4 x 10^3). Give your answer in standard form.
- 6th August 20232 teas and 4 cakes cost £10.70. 2 teas and 3 cakes cost £9.05. Find the price of a tea.
- 7th August 2023A coach travels 30 km in 1 hour, then 60 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
- 8th August 2023A goat is tied to a post in an open field by a rope 5 m long. Describe the region of grass it can reach.
- 9th August 2023A bag holds 4 red and 8 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 10th August 2023Four classes in order have frequencies 8, 8, 11, 12. Write down the cumulative frequency at the end of the third class.
- 11th August 2023A meal deal has 3 mains, 4 sides and 4 drinks. How many different meals are possible?
- 12th August 2023For the curve y = -8/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 13th August 2023Yusuf drives 112.5 km in 2.5 hours. Work out the average speed in km/h.
- 14th August 2023A trapezium has parallel sides of 9 cm and 14 cm, 14 cm apart. Work out its area.
- 15th August 2023A biased coin lands on heads with probability 0.2. It is thrown 50 times. How many heads would you expect?
- 16th August 202335 newts are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 17th August 2023A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 18th August 2023Factorise x^2 - 4.
- 19th August 2023Red and blue marbles are in the ratio 3 : 7. There are 45 red marbles. How many marbles are there altogether?
- 20th August 2023Four angles meet at a point. Three of them are 57°, 103° and 70°. Work out the fourth.
- 21st August 2023A bag holds 4 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
- 22nd August 2023A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd August 2023Work out (18 x 10^10) / (9 x 10^5). Give your answer in standard form.
- 24th August 2023Does the point (0, 9) satisfy y > -4x + 3?
- 25th August 2023A map has a scale of 1 : 25000. Two villages are 7.5 cm apart on the map. How far apart are they in real life, in km?
- 26th August 2023A prism has a triangular cross-section with base 22 cm and height 12 cm. The prism is 7 cm long. Work out its volume.
- 27th August 2023A bag holds 4 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 28th August 2023100 people were surveyed. 70 were adults, of whom 25 said yes. 5 of the children said yes. How many said yes altogether?
- 29th August 2023A meal deal has 7 mains, 7 sides and 4 drinks. How many different meals are possible?
- 30th August 2023A line has gradient 3 and passes through (4, 17). Work out its equation.
- 31st August 2023A pack of 6 pencils costs £3.30. A pack of 24 costs £11.76. Which pack is better value?