Daily Practice · Higher
January 2024 - Higher 5-a-day
Every Higher sheet published in January 2024, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2024 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2024A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd January 2024Work out (2 x 10^7) x (8 x 10^-2). Give your answer in standard form.
- 3rd January 2024Expand and simplify (x + 2)(x - 2)(x + 2).
- 4th January 2024A town's population is 22500 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 5th January 2024A cone has base radius 2 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 6th January 202423 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th January 2024A box plot has a minimum of 16 and a maximum of 67. Work out the range.
- 8th January 2024Write the recurring decimal 0.6969... as a fraction in its simplest form.
- 9th January 2024Make x the subject of y = 4x^2 - 12.
- 10th January 2024A block has volume 155 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 11th January 2024In triangle ABC, angle A is 40°, angle B is 108° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th January 20242 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th January 2024A box plot has minimum 11, lower quartile 15, median 20, upper quartile 25 and maximum 27. Work out the interquartile range.
- 14th January 2024A bill is £48 including VAT at 20%. Work out the amount before VAT.
- 15th January 2024Factorise x^2 - 16.
- 16th January 2024x : y = 7 : 9. Write y in terms of x.
- 17th January 2024A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 18th January 202412 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th January 2024A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 20th January 2024A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st January 2024A region is defined by y <= -3x - 1. Should the boundary line be solid or dashed, and why?
- 22nd January 2024A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 23rd January 2024The point (-6, 0) is enlarged by scale factor -3 about the centre (1, 3). Write down the coordinates of the image.
- 24th January 20244 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th January 2024A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 26th January 2024Work out (36 x 10^6) / (4 x 10^4). Give your answer in standard form.
- 27th January 2024Factorise x^2 + 2x - 15.
- 28th January 2024y is inversely proportional to x. When x = 8, y = 4. Work out y when x = 4.
- 29th January 2024Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 405 cm^3. Work out the volume of the smaller.
- 30th January 202426 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st January 2024Four classes in order have frequencies 5, 10, 3, 9. Write down the cumulative frequency at the end of the third class.