Daily Practice · Higher
April 1984 5-a-day
Printing for a group?
The batch download puts all 5 tiers' April 1984 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1984Work out (3 x 10^4) x (6 x 10^6). Give your answer in standard form.
- 2nd April 1984Factorise x^2 - x - 12.
- 3rd April 1984x : y = 3 : 7. Write y in terms of x.
- 4th April 1984Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1472 cm^3. Work out the volume of the smaller.
- 5th April 198419 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th April 1984A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 7th April 1984Write the recurring decimal 0.1616... as a fraction in its simplest form.
- 8th April 1984Work out the equation of the line parallel to y = 4x + 2 that passes through (1, -7).
- 9th April 1984A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 10th April 1984A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 11th April 19841 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th April 1984A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 13th April 1984A bill is £288 including VAT at 20%. Work out the amount before VAT.
- 14th April 1984A line has equation y = -3x + 6. Work out the gradient of any line perpendicular to it.
- 15th April 1984y is inversely proportional to x. When x = 4, y = 40. Work out y when x = 10.
- 16th April 1984ABCD is a cyclic quadrilateral. Angle ABC is 83°. Work out angle ADC.
- 17th April 198416 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th April 1984Four classes in order have frequencies 10, 5, 6, 10. Write down the cumulative frequency at the end of the third class.
- 19th April 1984A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th April 1984For the curve y = -5/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 21st April 1984y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 8.
- 22nd April 1984A, B and C are points on a circle with centre O. Angle AOC is 104°. Work out angle ABC, where B is on the major arc.
- 23rd April 19842 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th April 198450 beetles are marked and released. Later 24 are caught, of which 4 are marked. Estimate the population.
- 25th April 1984Work out (27 x 10^6) / (9 x 10^2). Give your answer in standard form.
- 26th April 1984Expand and simplify (x - 1)(x + 1)(x - 3).
- 27th April 1984y is directly proportional to x. When x = 4, y = 28. Work out y when x = 9.
- 28th April 1984A cone has base radius 8 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 29th April 19848 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th April 1984A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?