Daily Practice · Higher
September 1989 5-a-day
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The batch download puts all 5 tiers' September 1989 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1989A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 2nd September 1989Work out (8 x 10^5) x (5 x 10^-5). Give your answer in standard form.
- 3rd September 1989A line has equation y = 2x + 6. Work out the gradient of any line perpendicular to it.
- 4th September 1989A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 5th September 1989ABCD is a cyclic quadrilateral. Angle ABC is 83°. Work out angle ADC.
- 6th September 198929 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th September 1989A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 8th September 1989Write the recurring decimal 0.7878... as a fraction in its simplest form.
- 9th September 1989For the curve y = 6/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 10th September 1989y is inversely proportional to x. When x = 4, y = 4. Work out y when x = 2.
- 11th September 1989A, B and C are points on a circle with centre O. Angle AOC is 136°. Work out angle ABC, where B is on the major arc.
- 12th September 19892 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th September 1989Four classes in order have frequencies 8, 8, 3, 9. Write down the cumulative frequency at the end of the third class.
- 14th September 1989A bill is £144 including VAT at 20%. Work out the amount before VAT.
- 15th September 1989Expand and simplify (x + 1)(x + 1)(x + 1).
- 16th September 1989y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 3.
- 17th September 1989A cone has base radius 6 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 18th September 198932 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th September 198950 newts are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
- 20th September 1989A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st September 1989Make x the subject of y = 5x^2 - 3.
- 22nd September 1989y is directly proportional to x. When x = 7, y = 49. Work out y when x = 2.
- 23rd September 1989In triangle ABC, angle A is 48°, angle B is 102° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th September 19895 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th September 1989A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th September 1989Work out (48 x 10^6) / (8 x 10^5). Give your answer in standard form.
- 27th September 1989Factorise x^2 - 144.
- 28th September 1989A town's population is 22000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 29th September 1989A 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.
- 30th September 198917 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.