Daily Practice · Higher
October 1995 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1995 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1995Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 2nd October 1995Expand and simplify (x - 2)(x + 4)(x - 2).
- 3rd October 1995x : y = 5 : 7. Write y in terms of x.
- 4th October 1995A cone has base radius 7 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 5th October 199515 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th October 1995A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 7th October 1995A meal deal has 6 mains, 9 sides and 6 drinks. How many different meals are possible?
- 8th October 1995Make x the subject of y = 9x^2 - 2.
- 9th October 1995A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 10th October 1995In triangle ABC, angle A is 79°, angle B is 49° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th October 19951 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th October 1995A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 13th October 1995A mass is 29.6 kg, correct to 1 decimal place. Write down the lower bound.
- 14th October 1995Factorise x^2 - 49.
- 15th October 1995y is inversely proportional to x. When x = 6, y = 40. Work out y when x = 10.
- 16th October 1995A 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.
- 17th October 199514 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th October 1995Four classes in order have frequencies 7, 4, 4, 4. Write down the cumulative frequency at the end of the third class.
- 19th October 1995Write 3^-2 as a fraction.
- 20th October 1995A region is defined by y <= -5x + 9. Should the boundary line be solid or dashed, and why?
- 21st October 1995y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 8.
- 22nd October 1995The point (6, -4) is enlarged by scale factor -1 about the centre (-1, 0). Write down the coordinates of the image.
- 23rd October 19956 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th October 199555 newts are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
- 25th October 1995Work out (8 x 10^8) x (4 x 10^6). Give your answer in standard form.
- 26th October 1995Factorise x^2 + x - 20.
- 27th October 1995y is directly proportional to x. When x = 3, y = 18. Work out y when x = 11.
- 28th October 1995Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2176 cm^3. Work out the volume of the smaller.
- 29th October 199515 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th October 1995A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 31st October 1995Write the recurring decimal 0.7373... as a fraction in its simplest form.