Daily Practice · Higher
November 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1964 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1964A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
- 2nd November 1964A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 3rd November 1964ABCD is a cyclic quadrilateral. Angle ABC is 86°. Work out angle ADC.
- 4th November 196416 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th November 1964A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 6th November 1964Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 7th November 1964For the curve y = -10/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 8th November 1964y is inversely proportional to x. When x = 4, y = 24. Work out y when x = 12.
- 9th November 1964A, B and C are points on a circle with centre O. Angle AOC is 160°. Work out angle ABC, where B is on the major arc.
- 10th November 19647 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th November 1964Four classes in order have frequencies 11, 9, 10, 11. Write down the cumulative frequency at the end of the third class.
- 12th November 1964A meal deal has 4 mains, 5 sides and 3 drinks. How many different meals are possible?
- 13th November 1964Expand and simplify (x + 4)(x - 1)(x + 4).
- 14th November 1964y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 4.
- 15th November 1964A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 16th November 196421 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th November 196425 fish are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 18th November 1964A mass is 5.7 kg, correct to 1 decimal place. Write down the upper bound.
- 19th November 1964Make x the subject of y = 9x^2 - 8.
- 20th November 1964y is directly proportional to x. When x = 3, y = 21. Work out y when x = 2.
- 21st November 1964In triangle ABC, angle A is 72°, angle B is 35° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd November 19644 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd November 1964A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th November 1964Write 4^-1 as a fraction.
- 25th November 1964Factorise x^2 - 36.
- 26th November 1964A town's population is 12000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 27th November 1964A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 28th November 196428 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th November 1964A box plot has a minimum of 6 and a maximum of 34. Work out the range.
- 30th November 1964Work out (2 x 10^8) x (9 x 10^-6). Give your answer in standard form.