Daily Practice · Higher
April 1993 - Higher 5-a-day
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The batch download puts all 5 tiers' April 1993 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1993A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 2nd April 1993A mass is 22 kg, correct to the nearest whole number. Write down the lower bound.
- 3rd April 1993Expand and simplify (x + 2)(x + 5)(x + 3).
- 4th April 1993y is inversely proportional to x. When x = 4, y = 50. Work out y when x = 10.
- 5th April 1993A cone has base radius 3 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 6th April 199313 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th April 1993Four classes in order have frequencies 12, 3, 12, 5. Write down the cumulative frequency at the end of the third class.
- 8th April 1993Write 5^-2 as a fraction.
- 9th April 1993Make x the subject of y = 3x^2 - 4.
- 10th April 1993y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 4.
- 11th April 1993In triangle ABC, angle A is 66°, angle B is 40° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th April 19932 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th April 199330 fish are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 14th April 1993Work out (5 x 10^8) x (2 x 10^-4). Give your answer in standard form.
- 15th April 1993Factorise x^2 - 36.
- 16th April 1993y is directly proportional to x. When x = 6, y = 54. Work out y when x = 12.
- 17th April 1993A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 18th April 199316 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th April 1993A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th April 1993Write the recurring decimal 0.3535... as a fraction in its simplest form.
- 21st April 1993A region is defined by y <= 4x - 2. Should the boundary line be solid or dashed, and why?
- 22nd April 1993A town's population is 24500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 23rd April 1993The point (-1, 1) is enlarged by scale factor -1 about the centre (-4, -1). Write down the coordinates of the image.
- 24th April 19933 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th April 1993A box plot has a minimum of 9 and a maximum of 60. Work out the range.
- 26th April 1993A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 27th April 1993Factorise x^2 - x - 2.
- 28th April 1993A block has volume 180 cm^3 and density 8 g/cm^3. Work out its mass.
- 29th April 1993Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 896 cm^3. Work out the volume of the smaller.
- 30th April 199315 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.