Daily Practice · Higher
September 1976 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1976 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1976ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 2nd September 197625 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd September 1976A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 4th September 1976Write the recurring decimal 0.6767... as a fraction in its simplest form.
- 5th September 1976For the curve y = -2/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 6th September 1976A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 7th September 1976A, B and C are points on a circle with centre O. Angle AOC is 90°. Work out angle ABC, where B is on the major arc.
- 8th September 19761 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th September 1976A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 10th September 1976A bill is £792 including VAT at 20%. Work out the amount before VAT.
- 11th September 1976Expand and simplify (x - 4)(x - 2)(x + 1).
- 12th September 1976y is inversely proportional to x. When x = 3, y = 24. Work out y when x = 12.
- 13th September 1976A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 14th September 197616 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th September 1976Four classes in order have frequencies 11, 12, 6, 10. Write down the cumulative frequency at the end of the third class.
- 16th September 1976A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th September 1976Make x the subject of y = 2x^2 - 11.
- 18th September 1976y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 7.
- 19th September 1976In triangle ABC, angle A is 48°, angle B is 102° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th September 19765 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st September 197635 newts are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.
- 22nd September 1976Work out (54 x 10^11) / (9 x 10^4). Give your answer in standard form.
- 23rd September 1976Factorise x^2 - 100.
- 24th September 1976y is directly proportional to x. When x = 8, y = 88. Work out y when x = 9.
- 25th September 1976A 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.
- 26th September 197611 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th September 1976A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th September 1976Write the recurring decimal 0.666... as a fraction in its simplest form.
- 29th September 1976A region is defined by y <= -2x - 5. Should the boundary line be solid or dashed, and why?
- 30th September 1976A town's population is 6500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.