Daily Practice · Higher
December 1960 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 19603 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd December 1960A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 3rd December 1960Write 7^-1 as a fraction.
- 4th December 1960Expand and simplify (x - 3)(x + 2)(x + 2).
- 5th December 1960A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 6th December 1960A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 7th December 196013 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th December 1960A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 9th December 1960Work out (5 x 10^5) x (4 x 10^-3). Give your answer in standard form.
- 10th December 1960Make x the subject of y = 2x^2 - 7.
- 11th December 1960y is inversely proportional to x. When x = 5, y = 8. Work out y when x = 4.
- 12th December 1960In triangle ABC, angle A is 36°, angle B is 109° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th December 19601 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th December 1960Four classes in order have frequencies 8, 6, 9, 11. Write down the cumulative frequency at the end of the third class.
- 15th December 1960Write the recurring decimal 0.6868... as a fraction in its simplest form.
- 16th December 1960Factorise x^2 - 100.
- 17th December 1960y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 8.
- 18th December 1960A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 19th December 196012 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th December 196020 beetles are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 21st December 1960A bill is £384 including VAT at 20%. Work out the amount before VAT.
- 22nd December 1960A region is defined by y <= -3x - 6. Should the boundary line be solid or dashed, and why?
- 23rd December 1960y is directly proportional to x. When x = 5, y = 30. Work out y when x = 6.
- 24th December 1960The point (0, -3) is enlarged by scale factor -3 about the centre (-1, -2). Write down the coordinates of the image.
- 25th December 19602 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th December 1960A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th December 1960A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th December 1960Factorise x^2 + 7x + 10.
- 29th December 1960A town's population is 19000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 30th December 1960Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 972 cm^3. Work out the volume of the smaller.
- 31st December 196018 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.