Daily Practice · Higher
December 1978 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1978 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1978y is directly proportional to x. When x = 4, y = 16. Work out y when x = 8.
- 2nd December 1978A, B and C are points on a circle with centre O. Angle AOC is 138°. Work out angle ABC, where B is on the major arc.
- 3rd December 19783 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th December 1978A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th December 1978Work out 25^(3/2).
- 6th December 1978Expand and simplify (x - 4)(x - 5)(x - 4).
- 7th December 1978A town's population is 11500 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 8th December 1978A cone has base radius 3 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 9th December 197819 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th December 1978A box plot has a minimum of 18 and a maximum of 58. Work out the range.
- 11th December 1978Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 12th December 1978Make x the subject of y = 3x^2 - 10.
- 13th December 1978A block has volume 165 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 14th December 1978In triangle ABC, angle A is 61°, angle B is 44° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th December 19782 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th December 1978A box plot has minimum 14, lower quartile 20, median 29, upper quartile 36 and maximum 45. Work out the interquartile range.
- 17th December 1978A meal deal has 8 mains, 3 sides and 5 drinks. How many different meals are possible?
- 18th December 1978Factorise x^2 - 64.
- 19th December 1978x : y = 3 : 4. Write y in terms of x.
- 20th December 1978A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 21st December 197819 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd December 1978A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 23rd December 1978A mass is 38 kg, correct to the nearest whole number. Write down the lower bound.
- 24th December 1978A region is defined by y <= -4x + 9. Should the boundary line be solid or dashed, and why?
- 25th December 1978A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 26th December 1978The point (5, 3) is enlarged by scale factor -2 about the centre (-3, 3). Write down the coordinates of the image.
- 27th December 19785 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th December 1978A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 29th December 1978Write 8^-1 as a fraction.
- 30th December 1978Factorise x^2 - 9x + 8.
- 31st December 1978y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 6.