Daily Practice · Higher
December 1970 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1970 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1970x : y = 5 : 8. Write y in terms of x.
- 2nd December 1970A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd December 197018 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 December 1970A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 5th December 1970A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 6th December 1970Make x the subject of y = 4x^2 - 11.
- 7th December 1970A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 8th December 1970In triangle ABC, angle A is 78°, angle B is 65° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th December 19701 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th December 1970A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 11th December 1970Work out (30 x 10^11) / (5 x 10^5). Give your answer in standard form.
- 12th December 1970Factorise x^2 - 25.
- 13th December 1970y is inversely proportional to x. When x = 3, y = 48. Work out y when x = 12.
- 14th December 1970A 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.
- 15th December 197020 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th December 1970Four classes in order have frequencies 12, 6, 3, 7. Write down the cumulative frequency at the end of the third class.
- 17th December 1970Write the recurring decimal 0.777... as a fraction in its simplest form.
- 18th December 1970A region is defined by y < 4x - 4. Should the boundary line be solid or dashed, and why?
- 19th December 1970y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 8.
- 20th December 1970The point (-1, 0) is enlarged by scale factor -1 about the centre (-3, -4). Write down the coordinates of the image.
- 21st December 19702 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd December 197025 fish are marked and released. Later 22 are caught, of which 2 are marked. Estimate the population.
- 23rd December 1970Work out 8^(2/3).
- 24th December 1970Factorise x^2 - x - 72.
- 25th December 1970y is directly proportional to x. When x = 6, y = 18. Work out y when x = 7.
- 26th December 1970Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1408 cm^3. Work out the volume of the smaller.
- 27th December 197025 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 December 1970A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th December 1970Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 30th December 1970Work out the equation of the line parallel to y = -x - 2 that passes through (4, -14).
- 31st December 1970A town's population is 19000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.