Daily Practice · Higher
September 1993 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1993 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1993A block has volume 65 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 2nd September 1993In triangle ABC, angle A is 56°, angle B is 37° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd September 19934 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th September 1993A box plot has minimum 4, lower quartile 10, median 16, upper quartile 26 and maximum 31. Work out the interquartile range.
- 5th September 1993A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 6th September 1993Factorise x^2 - 100.
- 7th September 1993x : y = 5 : 9. Write y in terms of x.
- 8th September 1993A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 9th September 199328 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th September 1993A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 11th September 1993A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th September 1993A region is defined by y <= -3x + 3. Should the boundary line be solid or dashed, and why?
- 13th September 1993A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 14th September 1993The point (6, 2) is enlarged by scale factor -3 about the centre (-1, 3). Write down the coordinates of the image.
- 15th September 19932 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th September 1993A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 17th September 1993Work out (40 x 10^12) / (8 x 10^3). Give your answer in standard form.
- 18th September 1993Factorise x^2 - x - 72.
- 19th September 1993y is inversely proportional to x. When x = 2, y = 4. Work out y when x = 4.
- 20th September 1993Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1024 cm^3. Work out the volume of the smaller.
- 21st September 199315 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd September 1993Four classes in order have frequencies 11, 11, 8, 12. Write down the cumulative frequency at the end of the third class.
- 23rd September 1993Write the recurring decimal 0.888... as a fraction in its simplest form.
- 24th September 1993Work out the equation of the line parallel to y = x - 6 that passes through (1, 6).
- 25th September 1993y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 5.
- 26th September 1993A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 27th September 19936 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th September 199345 newts are marked and released. Later 28 are caught, of which 7 are marked. Estimate the population.
- 29th September 1993Work out 64^(2/3).
- 30th September 1993A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.