Daily Practice · Higher
February 1993 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1993 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1993Write 7^-1 as a fraction.
- 2nd February 1993A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 3rd February 1993A block has volume 10 cm^3 and density 8 g/cm^3. Work out its mass.
- 4th February 1993ABCD is a cyclic quadrilateral. Angle ABC is 79°. Work out angle ADC.
- 5th February 199330 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th February 1993A box plot has minimum 1, lower quartile 11, median 16, upper quartile 25 and maximum 29. Work out the interquartile range.
- 7th February 1993Work out (2 x 10^5) x (3 x 10^-3). Give your answer in standard form.
- 8th February 1993For the curve y = 7/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 9th February 1993x : y = 7 : 9. Write y in terms of x.
- 10th February 1993A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 11th February 19931 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th February 1993A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 13th February 1993Write the recurring decimal 0.4747... as a fraction in its simplest form.
- 14th February 1993Expand and simplify (x + 4)(x - 2)(x + 2).
- 15th February 1993A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 16th February 1993A cone has base radius 7 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 17th February 199323 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th February 1993A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 19th February 1993A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 20th February 1993Make x the subject of y = 8x^2 - 3.
- 21st February 1993y is inversely proportional to x. When x = 9, y = 72. Work out y when x = 12.
- 22nd February 1993In triangle ABC, angle A is 45°, angle B is 91° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd February 19931 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th February 1993Four classes in order have frequencies 6, 3, 6, 12. Write down the cumulative frequency at the end of the third class.
- 25th February 1993A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th February 1993Factorise x^2 - 144.
- 27th February 1993y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 3.
- 28th February 1993A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.