Daily Practice · Higher
November 1994 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1994 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1994x : y = 3 : 8. Write y in terms of x.
- 2nd November 1994A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd November 199414 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th November 1994A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 5th November 1994Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 6th November 1994Make x the subject of y = 8x^2 - 7.
- 7th November 1994A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 8th November 1994In triangle ABC, angle A is 79°, angle B is 31° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th November 19941 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th November 1994A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 11th November 1994A meal deal has 3 mains, 4 sides and 6 drinks. How many different meals are possible?
- 12th November 1994Factorise x^2 - 121.
- 13th November 1994y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 3.
- 14th November 1994A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 15th November 199426 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th November 1994Four classes in order have frequencies 8, 5, 6, 9. Write down the cumulative frequency at the end of the third class.
- 17th November 1994A mass is 60 kg, correct to the nearest whole number. Write down the upper bound.
- 18th November 1994A region is defined by y < -5x - 6. Should the boundary line be solid or dashed, and why?
- 19th November 1994y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 3.
- 20th November 1994The point (2, 1) is enlarged by scale factor -2 about the centre (-4, 1). Write down the coordinates of the image.
- 21st November 19944 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd November 199415 voles are marked and released. Later 54 are caught, of which 9 are marked. Estimate the population.
- 23rd November 1994Write 5^-3 as a fraction.
- 24th November 1994Factorise x^2 - 11x + 24.
- 25th November 1994y is directly proportional to x. When x = 5, y = 25. Work out y when x = 10.
- 26th November 1994Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 80 cm^3. Work out the volume of the smaller.
- 27th November 199418 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th November 1994A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th November 1994Work out (2 x 10^4) x (4 x 10^6). Give your answer in standard form.
- 30th November 1994Work out the equation of the line parallel to y = -4x - 5 that passes through (5, -25).