Daily Practice · Higher
January 1980 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1980x : y = 5 : 7. Write y in terms of x.
- 2nd January 1980In triangle ABC, angle A is 30°, angle B is 59° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd January 19801 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th January 1980A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 5th January 1980Work out 100^(3/2).
- 6th January 1980Factorise x^2 - 9.
- 7th January 1980A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 8th January 1980A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 9th January 198022 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th January 1980A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 11th January 1980Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 12th January 1980A region is defined by y <= -2x - 1. Should the boundary line be solid or dashed, and why?
- 13th January 1980y is inversely proportional to x. When x = 8, y = 6. Work out y when x = 6.
- 14th January 1980The point (2, -4) is enlarged by scale factor -3 about the centre (2, 0). Write down the coordinates of the image.
- 15th January 19801 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th January 1980Four classes in order have frequencies 7, 9, 4, 8. Write down the cumulative frequency at the end of the third class.
- 17th January 1980A meal deal has 5 mains, 6 sides and 6 drinks. How many different meals are possible?
- 18th January 1980Factorise x^2 + 4x - 45.
- 19th January 1980y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 2.
- 20th January 1980Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2560 cm^3. Work out the volume of the smaller.
- 21st January 198017 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd January 198030 beetles are marked and released. Later 48 are caught, of which 6 are marked. Estimate the population.
- 23rd January 1980A mass is 67 kg, correct to the nearest whole number. Write down the lower bound.
- 24th January 1980Work out the equation of the line parallel to y = 2x + 8 that passes through (2, -1).
- 25th January 1980y is directly proportional to x. When x = 3, y = 6. Work out y when x = 6.
- 26th January 1980A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 27th January 19801 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th January 1980A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th January 1980Write 8^-1 as a fraction.
- 30th January 1980A line has equation y = 5x + 3. Work out the gradient of any line perpendicular to it.
- 31st January 1980A town's population is 12500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.