Daily Practice · Higher
October 1988 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1988 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1988Write 9^-3 as a fraction.
- 2nd October 1988A line has equation y = -5x + 5. Work out the gradient of any line perpendicular to it.
- 3rd October 1988A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 4th October 1988ABCD is a cyclic quadrilateral. Angle ABC is 96°. Work out angle ADC.
- 5th October 198830 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th October 1988A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 7th October 1988Work out (6 x 10^8) x (7 x 10^-6). Give your answer in standard form.
- 8th October 1988For the curve y = -70/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 9th October 1988y is inversely proportional to x. When x = 7, y = 36. Work out y when x = 6.
- 10th October 1988A, B and C are points on a circle with centre O. Angle AOC is 106°. Work out angle ABC, where B is on the major arc.
- 11th October 19885 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th October 1988Four classes in order have frequencies 3, 10, 12, 8. Write down the cumulative frequency at the end of the third class.
- 13th October 1988Write the recurring decimal 0.6363... as a fraction in its simplest form.
- 14th October 1988Expand and simplify (x - 2)(x + 1)(x + 4).
- 15th October 1988y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 7.
- 16th October 1988A cone has base radius 6 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 17th October 198819 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th October 198830 beetles are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
- 19th October 1988A bill is £648 including VAT at 20%. Work out the amount before VAT.
- 20th October 1988Make x the subject of y = 9x^2 - 4.
- 21st October 1988y is directly proportional to x. When x = 3, y = 9. Work out y when x = 7.
- 22nd October 1988In triangle ABC, angle A is 61°, angle B is 86° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd October 19881 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th October 1988A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th October 1988A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th October 1988Factorise x^2 - 9.
- 27th October 1988A town's population is 3000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 28th October 1988A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 29th October 19888 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th October 1988A box plot has a minimum of 3 and a maximum of 56. Work out the range.
- 31st October 1988Work out (28 x 10^6) / (7 x 10^2). Give your answer in standard form.