Daily Practice · Higher
September 1999 - Higher 5-a-day
Every Higher sheet published in September 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 1999 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1999ABCD is a cyclic quadrilateral. Angle ABC is 127°. Work out angle ADC.
- 2nd September 199928 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd September 1999A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 4th September 1999Work out (24 x 10^8) / (6 x 10^4). Give your answer in standard form.
- 5th September 1999For the curve y = 8/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 6th September 1999A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 7th September 1999A, 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.
- 8th September 19995 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th September 1999A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 10th September 1999Write the recurring decimal 0.666... as a fraction in its simplest form.
- 11th September 1999Expand and simplify (x + 1)(x + 5)(x - 2).
- 12th September 1999y is inversely proportional to x. When x = 3, y = 12. Work out y when x = 6.
- 13th September 1999A cone has base radius 10 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 14th September 199919 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th September 1999Four classes in order have frequencies 3, 5, 4, 9. Write down the cumulative frequency at the end of the third class.
- 16th September 1999Work out 27^(2/3).
- 17th September 1999Make x the subject of y = 8x^2 - 11.
- 18th September 1999y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 8.
- 19th September 1999In triangle ABC, angle A is 63°, angle B is 74° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th September 19991 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st September 199935 voles are marked and released. Later 20 are caught, of which 2 are marked. Estimate the population.
- 22nd September 1999Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 23rd September 1999Factorise x^2 - 100.
- 24th September 1999y is directly proportional to x. When x = 7, y = 42. Work out y when x = 3.
- 25th September 1999A 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.
- 26th September 199915 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th September 1999A cumulative frequency graph is drawn for 152 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th September 1999A meal deal has 4 mains, 8 sides and 6 drinks. How many different meals are possible?
- 29th September 1999A region is defined by y < -2x + 2. Should the boundary line be solid or dashed, and why?
- 30th September 1999A town's population is 40000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.