Daily Practice · Higher
March 1998 - Higher 5-a-day
Every Higher sheet published in March 1998, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 1998 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1998
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1998Work out (8 x 10^8) x (9 x 10^-6). Give your answer in standard form.
- 2nd March 1998A region is defined by y < -x - 1. Should the boundary line be solid or dashed, and why?
- 3rd March 1998x : y = 3 : 5. Write y in terms of x.
- 4th March 1998The point (3, 5) is enlarged by scale factor -3 about the centre (4, 1). Write down the coordinates of the image.
- 5th March 19983 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th March 1998A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 7th March 1998Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 8th March 1998Factorise x^2 + 4x + 3.
- 9th March 1998A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 10th March 1998Two 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.
- 11th March 199813 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th March 1998A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 13th March 1998A bill is £216 including VAT at 20%. Work out the amount before VAT.
- 14th March 1998Work out the equation of the line parallel to y = x + 1 that passes through (5, -4).
- 15th March 1998y is inversely proportional to x. When x = 8, y = 8. Work out y when x = 2.
- 16th March 1998A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 17th March 19982 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th March 1998Four classes in order have frequencies 10, 4, 11, 9. Write down the cumulative frequency at the end of the third class.
- 19th March 1998A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th March 1998A line has equation y = 5x + 7. Work out the gradient of any line perpendicular to it.
- 21st March 1998y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 7.
- 22nd March 1998ABCD is a cyclic quadrilateral. Angle ABC is 111°. Work out angle ADC.
- 23rd March 199818 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th March 199810 newts are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 25th March 1998Work out (6 x 10^9) / (3 x 10^5). Give your answer in standard form.
- 26th March 1998For the curve y = 12/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 27th March 1998y is directly proportional to x. When x = 9, y = 90. Work out y when x = 8.
- 28th March 1998A, B and C are points on a circle with centre O. Angle AOC is 90°. Work out angle ABC, where B is on the major arc.
- 29th March 19985 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th March 1998A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 31st March 1998Write the recurring decimal 0.888... as a fraction in its simplest form.