Daily Practice · Higher
April 1966 5-a-day
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The batch download puts all 5 tiers' April 1966 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1966Factorise x^2 - 7x - 8.
- 2nd April 1966y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 5.
- 3rd April 1966Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 72 cm^3. Work out the volume of the smaller.
- 4th April 196623 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th April 196610 fish are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.
- 6th April 1966Write the recurring decimal 0.222... as a fraction in its simplest form.
- 7th April 1966Work out the equation of the line parallel to y = 2x + 1 that passes through (4, 3).
- 8th April 1966y is directly proportional to x. When x = 2, y = 10. Work out y when x = 14.
- 9th April 1966A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 10th April 19666 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th April 1966A cumulative frequency graph is drawn for 152 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th April 1966Work out 25^(3/2).
- 13th April 1966A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 14th April 1966A town's population is 40000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 15th April 1966ABCD is a cyclic quadrilateral. Angle ABC is 130°. Work out angle ADC.
- 16th April 196612 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th April 1966A box plot has a minimum of 19 and a maximum of 77. Work out the range.
- 18th April 1966Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 19th April 1966For the curve y = -40/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 20th April 1966A block has volume 145 cm^3 and density 3 g/cm^3. Work out its mass.
- 21st April 1966A, B and C are points on a circle with centre O. Angle AOC is 56°. Work out angle ABC, where B is on the major arc.
- 22nd April 19663 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd April 1966A box plot has minimum 14, lower quartile 22, median 27, upper quartile 29 and maximum 33. Work out the interquartile range.
- 24th April 1966A meal deal has 5 mains, 4 sides and 3 drinks. How many different meals are possible?
- 25th April 1966Expand and simplify (x - 5)(x + 3)(x - 5).
- 26th April 1966x : y = 4 : 5. Write y in terms of x.
- 27th April 1966A cone has base radius 9 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 28th April 196614 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th April 1966A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 30th April 1966A mass is 13 kg, correct to 1 decimal place. Write down the upper bound.