Daily Practice · Higher
December 1994 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1994 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1994A town's population is 27500 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 2nd December 1994A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 3rd December 19941 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th December 1994A box plot has a minimum of 12 and a maximum of 65. Work out the range.
- 5th December 1994Write the recurring decimal 0.1616... as a fraction in its simplest form.
- 6th December 1994A line has equation y = 5x + 1. Work out the gradient of any line perpendicular to it.
- 7th December 1994A block has volume 65 cm^3 and density 8 g/cm^3. Work out its mass.
- 8th December 1994ABCD is a cyclic quadrilateral. Angle ABC is 98°. Work out angle ADC.
- 9th December 199410 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 December 1994A box plot has minimum 12, lower quartile 17, median 21, upper quartile 29 and maximum 31. Work out the interquartile range.
- 11th December 1994A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 12th December 1994For the curve y = 6/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 13th December 1994x : y = 5 : 6. Write y in terms of x.
- 14th December 1994A, B and C are points on a circle with centre O. Angle AOC is 92°. Work out angle ABC, where B is on the major arc.
- 15th December 19948 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th December 1994A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 17th December 1994A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th December 1994Expand and simplify (x + 3)(x + 2)(x - 5).
- 19th December 1994A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 20th December 1994A cone has base radius 6 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 21st December 199426 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd December 1994A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 23rd December 1994Work out (27 x 10^9) / (3 x 10^5). Give your answer in standard form.
- 24th December 1994Make x the subject of y = 7x^2 - 2.
- 25th December 1994y is inversely proportional to x. When x = 3, y = 16. Work out y when x = 4.
- 26th December 1994In triangle ABC, angle A is 55°, angle B is 57° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th December 19942 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th December 1994Four classes in order have frequencies 4, 12, 12, 9. Write down the cumulative frequency at the end of the third class.
- 29th December 1994Write the recurring decimal 0.333... as a fraction in its simplest form.
- 30th December 1994Factorise x^2 - 81.
- 31st December 1994y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 9.