Daily Practice · Higher
April 1973 5-a-day
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The batch download puts all 5 tiers' April 1973 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1973y is inversely proportional to x. When x = 7, y = 6. Work out y when x = 2.
- 2nd April 1973ABCD is a cyclic quadrilateral. Angle ABC is 70°. Work out angle ADC.
- 3rd April 197317 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th April 1973Four classes in order have frequencies 12, 10, 5, 4. Write down the cumulative frequency at the end of the third class.
- 5th April 1973A bill is £168 including VAT at 20%. Work out the amount before VAT.
- 6th April 1973For the curve y = -8/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 7th April 1973y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 6.
- 8th April 1973A, B and C are points on a circle with centre O. Angle AOC is 48°. Work out angle ABC, where B is on the major arc.
- 9th April 19731 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th April 197325 voles are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.
- 11th April 1973A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th April 1973Expand and simplify (x + 3)(x + 4)(x - 3).
- 13th April 1973y is directly proportional to x. When x = 5, y = 30. Work out y when x = 14.
- 14th April 1973A cone has base radius 5 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 15th April 197318 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th April 1973A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th April 1973Work out (16 x 10^10) / (4 x 10^4). Give your answer in standard form.
- 18th April 1973Make x the subject of y = 7x^2 - 8.
- 19th April 1973A town's population is 9000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 20th April 1973In triangle ABC, angle A is 31°, angle B is 115° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st April 19732 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd April 1973A box plot has a minimum of 17 and a maximum of 72. Work out the range.
- 23rd April 1973Write the recurring decimal 0.111... as a fraction in its simplest form.
- 24th April 1973Factorise x^2 - 36.
- 25th April 1973A block has volume 195 cm^3 and density 8 g/cm^3. Work out its mass.
- 26th April 1973A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 27th April 197323 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th April 1973A box plot has minimum 9, lower quartile 12, median 15, upper quartile 20 and maximum 22. Work out the interquartile range.
- 29th April 1973Work out 64^(2/3).
- 30th April 1973A region is defined by y <= 3x + 7. Should the boundary line be solid or dashed, and why?