Daily Practice · Higher
March 1981 5-a-day
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The batch download puts all 5 tiers' March 1981 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1981Expand and simplify (x - 1)(x + 5)(x - 1).
- 2nd March 1981A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 3rd March 1981A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 4th March 198126 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th March 1981A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 6th March 1981Work out (5 x 10^4) x (6 x 10^5). Give your answer in standard form.
- 7th March 1981Make x the subject of y = 6x^2 - 6.
- 8th March 1981y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 3.
- 9th March 1981In triangle ABC, angle A is 68°, angle B is 47° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th March 19814 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th March 1981Four classes in order have frequencies 10, 10, 7, 10. Write down the cumulative frequency at the end of the third class.
- 12th March 1981Write the recurring decimal 0.3030... as a fraction in its simplest form.
- 13th March 1981Factorise x^2 - 121.
- 14th March 1981y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 7.
- 15th March 1981A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 16th March 198119 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th March 198135 fish are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
- 18th March 1981A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 19th March 1981A region is defined by y <= -2x - 5. Should the boundary line be solid or dashed, and why?
- 20th March 1981y is directly proportional to x. When x = 6, y = 48. Work out y when x = 13.
- 21st March 1981The point (-3, 3) is enlarged by scale factor -2 about the centre (-1, 1). Write down the coordinates of the image.
- 22nd March 19812 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd March 1981A cumulative frequency graph is drawn for 168 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th March 1981A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th March 1981Factorise x^2 - 4x + 4.
- 26th March 1981A town's population is 9500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 27th March 1981Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1344 cm^3. Work out the volume of the smaller.
- 28th March 198123 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th March 1981A box plot has a minimum of 14 and a maximum of 34. Work out the range.
- 30th March 1981Work out (6 x 10^12) / (3 x 10^5). Give your answer in standard form.
- 31st March 1981Work out the equation of the line parallel to y = -5x + 1 that passes through (5, -31).