Daily Practice · Higher
December 1980 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1980Make x the subject of y = 3x^2 - 5.
- 2nd December 1980x : y = 5 : 6. Write y in terms of x.
- 3rd December 1980In triangle ABC, angle A is 79°, angle B is 63° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th December 19801 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th December 1980A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 6th December 1980Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 7th December 1980Factorise x^2 - 36.
- 8th December 1980A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 9th December 1980A 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.
- 10th December 198018 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th December 1980A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 12th December 1980A meal deal has 6 mains, 7 sides and 4 drinks. How many different meals are possible?
- 13th December 1980A region is defined by y < 2x - 1. Should the boundary line be solid or dashed, and why?
- 14th December 1980y is inversely proportional to x. When x = 9, y = 18. Work out y when x = 6.
- 15th December 1980The point (-2, -1) is enlarged by scale factor -3 about the centre (-4, -1). Write down the coordinates of the image.
- 16th December 19803 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th December 1980Four classes in order have frequencies 6, 12, 7, 6. Write down the cumulative frequency at the end of the third class.
- 18th December 1980A mass is 440 kg, correct to the nearest 10. Write down the lower bound.
- 19th December 1980Factorise x^2 - x - 56.
- 20th December 1980y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 3.
- 21st December 1980Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 621 cm^3. Work out the volume of the smaller.
- 22nd December 198021 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd December 198020 voles are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
- 24th December 1980Write 9^-1 as a fraction.
- 25th December 1980Work out the equation of the line parallel to y = -4x + 1 that passes through (5, -18).
- 26th December 1980y is directly proportional to x. When x = 2, y = 6. Work out y when x = 4.
- 27th December 1980A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 28th December 19804 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th December 1980A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th December 1980Work out (7 x 10^4) x (8 x 10^-3). Give your answer in standard form.
- 31st December 1980A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.