Daily Practice · Higher
December 1963 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1963 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1963A line has equation y = 4x + 8. Work out the gradient of any line perpendicular to it.
- 2nd December 1963A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 3rd December 1963ABCD is a cyclic quadrilateral. Angle ABC is 92°. Work out angle ADC.
- 4th December 196328 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th December 1963A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 6th December 1963Work out 64^(2/3).
- 7th December 1963For the curve y = 4/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 8th December 1963y is inversely proportional to x. When x = 2, y = 30. Work out y when x = 5.
- 9th December 1963A, B and C are points on a circle with centre O. Angle AOC is 86°. Work out angle ABC, where B is on the major arc.
- 10th December 19632 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th December 1963Four classes in order have frequencies 8, 8, 4, 11. Write down the cumulative frequency at the end of the third class.
- 12th December 1963Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 13th December 1963Expand and simplify (x + 3)(x - 1)(x + 4).
- 14th December 1963y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 3.
- 15th December 1963A cone has base radius 6 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 16th December 196322 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th December 196310 voles are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
- 18th December 1963A meal deal has 4 mains, 3 sides and 5 drinks. How many different meals are possible?
- 19th December 1963Make x the subject of y = 2x^2 - 4.
- 20th December 1963y is directly proportional to x. When x = 3, y = 30. Work out y when x = 5.
- 21st December 1963In triangle ABC, angle A is 69°, angle B is 57° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd December 19631 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd December 1963A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th December 1963A mass is 130 kg, correct to the nearest 10. Write down the upper bound.
- 25th December 1963Factorise x^2 - 64.
- 26th December 1963A town's population is 6500 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 27th December 1963A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 28th December 196327 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th December 1963A box plot has a minimum of 6 and a maximum of 48. Work out the range.
- 30th December 1963Write 7^-1 as a fraction.
- 31st December 1963A region is defined by y <= -2x - 8. Should the boundary line be solid or dashed, and why?