Daily Practice · Higher
April 1963 5-a-day
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The batch download puts all 5 tiers' April 1963 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1963A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 2nd April 19631 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd April 1963Four classes in order have frequencies 10, 7, 5, 5. Write down the cumulative frequency at the end of the third class.
- 4th April 1963A mass is 17.2 kg, correct to 1 decimal place. Write down the upper bound.
- 5th April 1963A line has equation y = -5x + 9. Work out the gradient of any line perpendicular to it.
- 6th April 1963y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 5.
- 7th April 1963ABCD is a cyclic quadrilateral. Angle ABC is 101°. Work out angle ADC.
- 8th April 196315 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th April 196335 voles are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 10th April 1963Write 8^-3 as a fraction.
- 11th April 1963For the curve y = -4/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 12th April 1963y is directly proportional to x. When x = 9, y = 54. Work out y when x = 6.
- 13th April 1963A, B and C are points on a circle with centre O. Angle AOC is 94°. Work out angle ABC, where B is on the major arc.
- 14th April 19634 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th April 1963A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th April 1963Work out (2 x 10^6) x (4 x 10^2). Give your answer in standard form.
- 17th April 1963Expand and simplify (x + 4)(x + 3)(x - 4).
- 18th April 1963A town's population is 29500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 19th April 1963A cone has base radius 10 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 20th April 19639 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st April 1963A box plot has a minimum of 2 and a maximum of 37. Work out the range.
- 22nd April 1963Write the recurring decimal 0.9191... as a fraction in its simplest form.
- 23rd April 1963Make x the subject of y = 6x^2 - 11.
- 24th April 1963A block has volume 60 cm^3 and density 11 g/cm^3. Work out its mass.
- 25th April 1963In triangle ABC, angle A is 46°, angle B is 46° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th April 19631 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th April 1963A box plot has minimum 8, lower quartile 17, median 25, upper quartile 28 and maximum 30. Work out the interquartile range.
- 28th April 1963A bill is £888 including VAT at 20%. Work out the amount before VAT.
- 29th April 1963Factorise x^2 - 121.
- 30th April 1963x : y = 3 : 7. Write y in terms of x.