Daily Practice · Higher
December 1996 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1996 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1996For the curve y = -30/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 2nd December 1996A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 3rd December 1996A, B and C are points on a circle with centre O. Angle AOC is 146°. Work out angle ABC, where B is on the major arc.
- 4th December 19961 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th December 1996A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 6th December 1996A bill is £360 including VAT at 20%. Work out the amount before VAT.
- 7th December 1996Expand and simplify (x + 3)(x - 1)(x - 1).
- 8th December 1996y is inversely proportional to x. When x = 2, y = 15. Work out y when x = 5.
- 9th December 1996A cone has base radius 2 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 10th December 199613 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th December 1996Four classes in order have frequencies 11, 10, 5, 4. Write down the cumulative frequency at the end of the third class.
- 12th December 1996A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th December 1996Make x the subject of y = 2x^2 - 8.
- 14th December 1996y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 8.
- 15th December 1996In triangle ABC, angle A is 58°, angle B is 82° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th December 19961 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th December 199620 voles are marked and released. Later 48 are caught, of which 6 are marked. Estimate the population.
- 18th December 1996Work out (40 x 10^7) / (8 x 10^2). Give your answer in standard form.
- 19th December 1996Factorise x^2 - 64.
- 20th December 1996y is directly proportional to x. When x = 2, y = 12. Work out y when x = 13.
- 21st December 1996A 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.
- 22nd December 199621 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd December 1996A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th December 1996Write the recurring decimal 0.888... as a fraction in its simplest form.
- 25th December 1996A region is defined by y <= -x - 7. Should the boundary line be solid or dashed, and why?
- 26th December 1996A town's population is 39000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 27th December 1996The point (-5, 5) is enlarged by scale factor -2 about the centre (4, 0). Write down the coordinates of the image.
- 28th December 19961 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th December 1996A box plot has a minimum of 19 and a maximum of 47. Work out the range.
- 30th December 1996Work out 27^(2/3).
- 31st December 1996Factorise x^2 + 11x + 30.