Daily Practice · Higher
October 1998 - Higher 5-a-day
Every Higher sheet published in October 1998, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 1998 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1998
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 199818 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd October 1998A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 3rd October 1998A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th October 1998For the curve y = -30/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 5th October 1998A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 6th October 1998A, B and C are points on a circle with centre O. Angle AOC is 44°. Work out angle ABC, where B is on the major arc.
- 7th October 19981 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th October 1998A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 9th October 1998Work out (48 x 10^7) / (6 x 10^2). Give your answer in standard form.
- 10th October 1998Expand and simplify (x - 1)(x - 5)(x + 5).
- 11th October 1998y is inversely proportional to x. When x = 8, y = 60. Work out y when x = 10.
- 12th October 1998A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 13th October 199813 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th October 1998Four classes in order have frequencies 11, 12, 6, 7. Write down the cumulative frequency at the end of the third class.
- 15th October 1998Write the recurring decimal 0.111... as a fraction in its simplest form.
- 16th October 1998Make x the subject of y = 2x^2 - 7.
- 17th October 1998y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 9.
- 18th October 1998In triangle ABC, angle A is 56°, angle B is 87° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th October 19983 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th October 199820 fish are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 21st October 1998Work out 25^(3/2).
- 22nd October 1998Factorise x^2 - 49.
- 23rd October 1998y is directly proportional to x. When x = 2, y = 6. Work out y when x = 15.
- 24th October 1998A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 25th October 199826 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th October 1998A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th October 1998Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 28th October 1998A region is defined by y <= -3x - 6. Should the boundary line be solid or dashed, and why?
- 29th October 1998A town's population is 11500 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 30th October 1998The point (2, 6) is enlarged by scale factor -2 about the centre (2, -2). Write down the coordinates of the image.
- 31st October 19982 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.