Daily Practice · Higher
April 1971 5-a-day
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The batch download puts all 5 tiers' April 1971 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1971Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 112 cm^3. Work out the volume of the smaller.
- 2nd April 197120 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd April 1971A box plot has minimum 10, lower quartile 12, median 14, upper quartile 19 and maximum 21. Work out the interquartile range.
- 4th April 1971Write the recurring decimal 0.1212... as a fraction in its simplest form.
- 5th April 1971Work out the equation of the line parallel to y = 4x + 3 that passes through (2, 0).
- 6th April 1971x : y = 3 : 4. Write y in terms of x.
- 7th April 1971A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 8th April 19712 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th April 1971A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 10th April 1971A bill is £216 including VAT at 20%. Work out the amount before VAT.
- 11th April 1971A line has equation y = -3x + 9. Work out the gradient of any line perpendicular to it.
- 12th April 1971A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 13th April 1971ABCD is a cyclic quadrilateral. Angle ABC is 60°. Work out angle ADC.
- 14th April 197114 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th April 1971A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 16th April 1971A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th April 1971For the curve y = 15/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 18th April 1971y is inversely proportional to x. When x = 8, y = 18. Work out y when x = 6.
- 19th April 1971A, B and C are points on a circle with centre O. Angle AOC is 164°. Work out angle ABC, where B is on the major arc.
- 20th April 19716 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st April 1971Four classes in order have frequencies 3, 3, 5, 4. Write down the cumulative frequency at the end of the third class.
- 22nd April 1971Work out (72 x 10^7) / (9 x 10^3). Give your answer in standard form.
- 23rd April 1971Expand and simplify (x - 2)(x + 1)(x - 1).
- 24th April 1971y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 9.
- 25th April 1971A cone has base radius 6 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 26th April 197120 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th April 197160 fish are marked and released. Later 63 are caught, of which 7 are marked. Estimate the population.
- 28th April 1971Write the recurring decimal 0.333... as a fraction in its simplest form.
- 29th April 1971Make x the subject of y = 2x^2 - 10.
- 30th April 1971y is directly proportional to x. When x = 8, y = 40. Work out y when x = 5.