Daily Practice · Higher
April 1980 5-a-day
Printing for a group?
The batch download puts all 5 tiers' April 1980 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1980A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd April 19809 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd April 1980A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 4th April 1980Write 5^-3 as a fraction.
- 5th April 1980Make x the subject of y = 7x^2 - 5.
- 6th April 1980y is inversely proportional to x. When x = 2, y = 48. Work out y when x = 12.
- 7th April 1980In triangle ABC, angle A is 30°, angle B is 103° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th April 19806 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th April 1980Four classes in order have frequencies 9, 3, 12, 3. Write down the cumulative frequency at the end of the third class.
- 10th April 1980Work out (9 x 10^4) x (7 x 10^-5). Give your answer in standard form.
- 11th April 1980Factorise x^2 - 36.
- 12th April 1980y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 5.
- 13th April 1980A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 14th April 198029 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th April 198010 newts are marked and released. Later 28 are caught, of which 4 are marked. Estimate the population.
- 16th April 1980Write the recurring decimal 0.4040... as a fraction in its simplest form.
- 17th April 1980A region is defined by y <= -3x + 6. Should the boundary line be solid or dashed, and why?
- 18th April 1980y is directly proportional to x. When x = 5, y = 10. Work out y when x = 11.
- 19th April 1980The point (-2, 5) is enlarged by scale factor -3 about the centre (1, 1). Write down the coordinates of the image.
- 20th April 19802 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st April 1980A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd April 1980A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 23rd April 1980Factorise x^2 - 2x - 15.
- 24th April 1980A town's population is 32500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 25th April 1980Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2240 cm^3. Work out the volume of the smaller.
- 26th April 198020 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th April 1980A box plot has a minimum of 15 and a maximum of 57. Work out the range.
- 28th April 1980A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th April 1980Work out the equation of the line parallel to y = 2x + 6 that passes through (2, 2).
- 30th April 1980A block has volume 105 cm^3 and density 7.5 g/cm^3. Work out its mass.