Daily Practice · Higher
April 1960 5-a-day
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The batch download puts all 5 tiers' April 1960 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1960A bill is £144 including VAT at 20%. Work out the amount before VAT.
- 2nd April 1960For the curve y = 18/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 3rd April 1960y is inversely proportional to x. When x = 5, y = 20. Work out y when x = 10.
- 4th April 1960A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 5th April 19603 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th April 1960Four classes in order have frequencies 12, 5, 5, 9. Write down the cumulative frequency at the end of the third class.
- 7th April 1960A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th April 1960Expand and simplify (x + 1)(x - 3)(x + 4).
- 9th April 1960y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 7.
- 10th April 1960A cone has base radius 5 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 11th April 196023 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th April 196040 fish are marked and released. Later 72 are caught, of which 9 are marked. Estimate the population.
- 13th April 1960Work out (32 x 10^6) / (4 x 10^5). Give your answer in standard form.
- 14th April 1960Make x the subject of y = 3x^2 - 4.
- 15th April 1960y is directly proportional to x. When x = 8, y = 72. Work out y when x = 9.
- 16th April 1960In triangle ABC, angle A is 69°, angle B is 45° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th April 19601 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th April 1960A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th April 1960Write the recurring decimal 0.888... as a fraction in its simplest form.
- 20th April 1960Factorise x^2 - 144.
- 21st April 1960A town's population is 18500 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 22nd April 1960A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 23rd April 196024 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th April 1960A box plot has a minimum of 5 and a maximum of 50. Work out the range.
- 25th April 1960Work out 27^(2/3).
- 26th April 1960A region is defined by y <= x + 8. Should the boundary line be solid or dashed, and why?
- 27th April 1960A block has volume 165 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 28th April 1960The point (-5, 3) is enlarged by scale factor -2 about the centre (-1, -2). Write down the coordinates of the image.
- 29th April 19603 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th April 1960A box plot has minimum 2, lower quartile 12, median 14, upper quartile 22 and maximum 27. Work out the interquartile range.