Daily Practice · Higher
September 1963 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1963 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1963Write the recurring decimal 0.8888... as a fraction in its simplest form.
- 2nd September 1963For the curve y = 16/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 3rd September 1963x : y = 3 : 7. Write y in terms of x.
- 4th September 1963A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 5th September 19632 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th September 1963A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 7th September 1963A bill is £672 including VAT at 20%. Work out the amount before VAT.
- 8th September 1963Expand and simplify (x - 4)(x - 1)(x - 5).
- 9th September 1963A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 10th September 1963A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 11th September 196322 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th September 1963A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 13th September 1963A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th September 1963Make x the subject of y = 6x^2 - 11.
- 15th September 1963y is inversely proportional to x. When x = 2, y = 9. Work out y when x = 3.
- 16th September 1963In triangle ABC, angle A is 75°, angle B is 39° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th September 19634 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th September 1963Four classes in order have frequencies 10, 6, 8, 3. Write down the cumulative frequency at the end of the third class.
- 19th September 1963Work out (16 x 10^8) / (2 x 10^3). Give your answer in standard form.
- 20th September 1963Factorise x^2 - 144.
- 21st September 1963y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 8.
- 22nd September 1963A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 23rd September 196331 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th September 196320 beetles are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
- 25th September 1963Write the recurring decimal 0.777... as a fraction in its simplest form.
- 26th September 1963A region is defined by y <= 3x + 5. Should the boundary line be solid or dashed, and why?
- 27th September 1963y is directly proportional to x. When x = 8, y = 96. Work out y when x = 11.
- 28th September 1963The point (3, -4) is enlarged by scale factor -2 about the centre (-2, 1). Write down the coordinates of the image.
- 29th September 19633 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th September 1963A cumulative frequency graph is drawn for 100 values. What cumulative frequency do you read across from to estimate the lower quartile?