Daily Practice · Higher
April 1974 5-a-day
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The batch download puts all 5 tiers' April 1974 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1974A region is defined by y <= -x - 1. Should the boundary line be solid or dashed, and why?
- 2nd April 1974x : y = 7 : 9. Write y in terms of x.
- 3rd April 1974The point (5, -6) is enlarged by scale factor -3 about the centre (0, -3). Write down the coordinates of the image.
- 4th April 19743 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th April 1974A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 6th April 1974A meal deal has 5 mains, 4 sides and 5 drinks. How many different meals are possible?
- 7th April 1974Factorise x^2 + 2x - 24.
- 8th April 1974A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 9th April 1974Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 432 cm^3. Work out the volume of the smaller.
- 10th April 197431 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th April 1974A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 12th April 1974A mass is 9.5 kg, correct to 1 decimal place. Write down the upper bound.
- 13th April 1974Work out the equation of the line parallel to y = -x + 3 that passes through (6, -4).
- 14th April 1974y is inversely proportional to x. When x = 4, y = 40. Work out y when x = 10.
- 15th April 1974A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 16th April 19747 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th April 1974Four classes in order have frequencies 12, 10, 8, 11. Write down the cumulative frequency at the end of the third class.
- 18th April 1974Write 6^-1 as a fraction.
- 19th April 1974A line has equation y = -4x + 6. Work out the gradient of any line perpendicular to it.
- 20th April 1974y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 4.
- 21st April 1974ABCD is a cyclic quadrilateral. Angle ABC is 120°. Work out angle ADC.
- 22nd April 197427 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd April 197420 newts are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
- 24th April 1974Work out (9 x 10^7) x (4 x 10^5). Give your answer in standard form.
- 25th April 1974For the curve y = 55/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 26th April 1974y is directly proportional to x. When x = 2, y = 16. Work out y when x = 14.
- 27th April 1974A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 28th April 19742 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th April 1974A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th April 1974Write the recurring decimal 0.4848... as a fraction in its simplest form.