Daily Practice · Higher
June 1998 - Higher 5-a-day
Every Higher sheet published in June 1998, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 1998 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1998
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1998A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 2nd June 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.
- 3rd June 199822 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th June 1998A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 5th June 1998Write the recurring decimal 0.666... as a fraction in its simplest form.
- 6th June 1998A region is defined by y < 5x + 1. Should the boundary line be solid or dashed, and why?
- 7th June 1998y is inversely proportional to x. When x = 3, y = 30. Work out y when x = 5.
- 8th June 1998The point (-1, 4) is enlarged by scale factor -2 about the centre (0, -2). Write down the coordinates of the image.
- 9th June 19983 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th June 1998Four classes in order have frequencies 3, 5, 9, 6. Write down the cumulative frequency at the end of the third class.
- 11th June 1998Work out 81^(3/2).
- 12th June 1998Factorise x^2 + 7x + 12.
- 13th June 1998y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 9.
- 14th June 1998Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 104 cm^3. Work out the volume of the smaller.
- 15th June 199810 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th June 199860 voles are marked and released. Later 63 are caught, of which 7 are marked. Estimate the population.
- 17th June 1998Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 18th June 1998Work out the equation of the line parallel to y = 4x - 3 that passes through (3, 9).
- 19th June 1998y is directly proportional to x. When x = 4, y = 40. Work out y when x = 5.
- 20th June 1998A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 21st June 19981 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd June 1998A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd June 1998A meal deal has 4 mains, 7 sides and 5 drinks. How many different meals are possible?
- 24th June 1998A line has equation y = 5x + 3. Work out the gradient of any line perpendicular to it.
- 25th June 1998A town's population is 25500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 26th June 1998ABCD is a cyclic quadrilateral. Angle ABC is 85°. Work out angle ADC.
- 27th June 199812 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th June 1998A box plot has a minimum of 16 and a maximum of 40. Work out the range.
- 29th June 1998A mass is 40 kg, correct to the nearest whole number. Write down the upper bound.
- 30th June 1998For the curve y = -50/x, work out y when x = 10, and write down the equation of its vertical asymptote.