Daily Practice · Higher
October 1991 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1991 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1991
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1991Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 160 cm^3. Work out the volume of the smaller.
- 2nd October 199128 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd October 1991A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 4th October 1991Work out 25^(3/2).
- 5th October 1991Work out the equation of the line parallel to y = -5x - 4 that passes through (3, -7).
- 6th October 1991y is inversely proportional to x. When x = 5, y = 15. Work out y when x = 3.
- 7th October 1991A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 8th October 19912 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th October 1991Four classes in order have frequencies 9, 11, 5, 12. Write down the cumulative frequency at the end of the third class.
- 10th October 1991Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 11th October 1991A line has equation y = -4x + 6. Work out the gradient of any line perpendicular to it.
- 12th October 1991y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 2.
- 13th October 1991ABCD is a cyclic quadrilateral. Angle ABC is 88°. Work out angle ADC.
- 14th October 199119 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th October 199140 beetles are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
- 16th October 1991A meal deal has 5 mains, 9 sides and 2 drinks. How many different meals are possible?
- 17th October 1991For the curve y = -20/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 18th October 1991y is directly proportional to x. When x = 3, y = 36. Work out y when x = 7.
- 19th October 1991A, B and C are points on a circle with centre O. Angle AOC is 172°. Work out angle ABC, where B is on the major arc.
- 20th October 19917 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st October 1991A cumulative frequency graph is drawn for 216 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd October 1991A mass is 450 kg, correct to the nearest 10. Write down the upper bound.
- 23rd October 1991Expand and simplify (x - 5)(x + 4)(x - 3).
- 24th October 1991A town's population is 5000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 25th October 1991A cone has base radius 5 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 26th October 199115 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th October 1991A box plot has a minimum of 2 and a maximum of 46. Work out the range.
- 28th October 1991Write 8^-2 as a fraction.
- 29th October 1991Make x the subject of y = 5x^2 - 9.
- 30th October 1991A block has volume 145 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 31st October 1991In triangle ABC, angle A is 70°, angle B is 33° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.