Daily Practice · Higher
September 1996 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1996 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1996A meal deal has 4 mains, 4 sides and 3 drinks. How many different meals are possible?
- 2nd September 1996Expand and simplify (x - 1)(x - 2)(x + 1).
- 3rd September 1996x : y = 2 : 9. Write y in terms of x.
- 4th September 1996A cone has base radius 8 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 5th September 199623 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th September 1996A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 7th September 1996A mass is 500 kg, correct to the nearest 10. Write down the lower bound.
- 8th September 1996Make x the subject of y = 6x^2 - 10.
- 9th September 1996A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 10th September 1996In triangle ABC, angle A is 72°, angle B is 52° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th September 19961 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th September 1996A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 13th September 1996Write 2^-3 as a fraction.
- 14th September 1996Factorise x^2 - 16.
- 15th September 1996y is inversely proportional to x. When x = 7, y = 18. Work out y when x = 6.
- 16th September 1996A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 17th September 199625 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th September 1996Four classes in order have frequencies 8, 10, 4, 7. Write down the cumulative frequency at the end of the third class.
- 19th September 1996Work out (7 x 10^5) x (7 x 10^5). Give your answer in standard form.
- 20th September 1996A region is defined by y <= 5x + 2. Should the boundary line be solid or dashed, and why?
- 21st September 1996y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 5.
- 22nd September 1996The point (-1, 2) is enlarged by scale factor -3 about the centre (-4, -3). Write down the coordinates of the image.
- 23rd September 19961 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th September 199650 voles are marked and released. Later 27 are caught, of which 9 are marked. Estimate the population.
- 25th September 1996Write the recurring decimal 0.6363... as a fraction in its simplest form.
- 26th September 1996Factorise x^2 - 4x - 45.
- 27th September 1996y is directly proportional to x. When x = 9, y = 72. Work out y when x = 12.
- 28th September 1996Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1472 cm^3. Work out the volume of the smaller.
- 29th September 199622 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 September 1996A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?