Daily Practice · Higher
July 1998 - Higher 5-a-day
Every Higher sheet published in July 1998, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 1998 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1998
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1998A block has volume 60 cm^3 and density 11 g/cm^3. Work out its mass.
- 2nd July 1998A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 3rd July 19981 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th July 1998A box plot has minimum 7, lower quartile 13, median 22, upper quartile 29 and maximum 33. Work out the interquartile range.
- 5th July 1998Write 6^-3 as a fraction.
- 6th July 1998Expand and simplify (x - 5)(x + 3)(x + 1).
- 7th July 1998x : y = 3 : 8. Write y in terms of x.
- 8th July 1998A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 9th July 199814 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th July 1998A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 11th July 1998Work out (2 x 10^6) x (9 x 10^-4). Give your answer in standard form.
- 12th July 1998Make x the subject of y = 5x^2 - 5.
- 13th July 1998A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 14th July 1998In triangle ABC, angle A is 69°, angle B is 64° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th July 19984 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th July 1998A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 17th July 1998Write the recurring decimal 0.1818... as a fraction in its simplest form.
- 18th July 1998Factorise x^2 - 64.
- 19th July 1998y is inversely proportional to x. When x = 7, y = 6. Work out y when x = 2.
- 20th July 1998A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 21st July 199813 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd July 1998Four classes in order have frequencies 6, 7, 3, 4. Write down the cumulative frequency at the end of the third class.
- 23rd July 1998A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 24th July 1998A region is defined by y <= -2x + 3. Should the boundary line be solid or dashed, and why?
- 25th July 1998y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 8.
- 26th July 1998The point (6, 1) is enlarged by scale factor -2 about the centre (3, 1). Write down the coordinates of the image.
- 27th July 19981 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th July 199830 beetles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 29th July 1998A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 30th July 1998Factorise x^2 - 11x + 24.
- 31st July 1998y is directly proportional to x. When x = 4, y = 16. Work out y when x = 12.