Daily Practice · Higher
October 1978 5-a-day
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The batch download puts all 5 tiers' October 1978 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1978Work out the equation of the line parallel to y = -5x + 5 that passes through (2, -5).
- 2nd October 1978A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 3rd October 1978A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 4th October 19782 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th October 1978A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 6th October 1978Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 7th October 1978A line has equation y = 4x + 1. Work out the gradient of any line perpendicular to it.
- 8th October 1978y is inversely proportional to x. When x = 3, y = 10. Work out y when x = 2.
- 9th October 1978ABCD is a cyclic quadrilateral. Angle ABC is 112°. Work out angle ADC.
- 10th October 197813 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th October 1978Four classes in order have frequencies 3, 9, 10, 4. Write down the cumulative frequency at the end of the third class.
- 12th October 1978A meal deal has 3 mains, 5 sides and 2 drinks. How many different meals are possible?
- 13th October 1978For the curve y = 50/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 14th October 1978y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 4.
- 15th October 1978A, B and C are points on a circle with centre O. Angle AOC is 114°. Work out angle ABC, where B is on the major arc.
- 16th October 19787 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th October 197820 newts are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
- 18th October 1978A mass is 18.5 kg, correct to 1 decimal place. Write down the lower bound.
- 19th October 1978Expand and simplify (x + 5)(x - 1)(x - 5).
- 20th October 1978y is directly proportional to x. When x = 5, y = 10. Work out y when x = 13.
- 21st October 1978A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd October 197832 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd October 1978A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th October 1978Write 7^-2 as a fraction.
- 25th October 1978Make x the subject of y = 8x^2 - 3.
- 26th October 1978A town's population is 19000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 27th October 1978In triangle ABC, angle A is 53°, angle B is 59° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th October 19782 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th October 1978A box plot has a minimum of 10 and a maximum of 20. Work out the range.
- 30th October 1978Work out (2 x 10^8) x (6 x 10^3). Give your answer in standard form.
- 31st October 1978Factorise x^2 - 25.