Daily Practice · Higher
December 1965 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1965 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1965Work out 8^(2/3).
- 2nd December 1965Expand and simplify (x - 3)(x - 2)(x + 2).
- 3rd December 1965y is directly proportional to x. When x = 3, y = 9. Work out y when x = 11.
- 4th December 1965A cone has base radius 9 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 5th December 196523 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th December 1965A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th December 1965Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 8th December 1965Make x the subject of y = 2x^2 - 3.
- 9th December 1965A town's population is 5000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 10th December 1965In triangle ABC, angle A is 46°, angle B is 40° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th December 19652 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th December 1965A box plot has a minimum of 4 and a maximum of 43. Work out the range.
- 13th December 1965A meal deal has 7 mains, 4 sides and 2 drinks. How many different meals are possible?
- 14th December 1965Factorise x^2 - 100.
- 15th December 1965A block has volume 35 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 16th December 1965A 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.
- 17th December 196516 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th December 1965A box plot has minimum 15, lower quartile 18, median 28, upper quartile 38 and maximum 47. Work out the interquartile range.
- 19th December 1965A mass is 25 kg, correct to the nearest whole number. Write down the lower bound.
- 20th December 1965A region is defined by y <= x + 4. Should the boundary line be solid or dashed, and why?
- 21st December 1965x : y = 7 : 9. Write y in terms of x.
- 22nd December 1965The point (6, 5) is enlarged by scale factor -2 about the centre (-3, 4). Write down the coordinates of the image.
- 23rd December 19651 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th December 1965A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 25th December 1965Write 2^-2 as a fraction.
- 26th December 1965Factorise x^2 - 9x + 14.
- 27th December 1965A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 28th December 1965Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1152 cm^3. Work out the volume of the smaller.
- 29th December 196512 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th December 1965A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 31st December 1965Work out (8 x 10^7) x (9 x 10^5). Give your answer in standard form.