Daily Practice · Higher
August 1994 - Higher 5-a-day
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The batch download puts all 5 tiers' August 1994 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1994A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 2nd August 1994Make x the subject of y = 9x^2 - 2.
- 3rd August 1994A block has volume 20 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 4th August 1994In triangle ABC, angle A is 48°, angle B is 37° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th August 19944 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th August 1994A box plot has minimum 15, lower quartile 20, median 27, upper quartile 35 and maximum 42. Work out the interquartile range.
- 7th August 1994A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th August 1994Factorise x^2 - 36.
- 9th August 1994x : y = 2 : 7. Write y in terms of x.
- 10th August 1994A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 11th August 199423 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 August 1994A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 13th August 1994Work out (81 x 10^11) / (9 x 10^4). Give your answer in standard form.
- 14th August 1994A region is defined by y <= 2x + 9. Should the boundary line be solid or dashed, and why?
- 15th August 1994A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 16th August 1994The point (-1, 3) is enlarged by scale factor -1 about the centre (-2, -4). Write down the coordinates of the image.
- 17th August 19944 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th August 1994A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 19th August 1994Write the recurring decimal 0.222... as a fraction in its simplest form.
- 20th August 1994Factorise x^2 - 5x - 36.
- 21st August 1994y is inversely proportional to x. When x = 7, y = 9. Work out y when x = 3.
- 22nd August 1994Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 136 cm^3. Work out the volume of the smaller.
- 23rd August 199417 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 August 1994Four classes in order have frequencies 7, 5, 11, 9. Write down the cumulative frequency at the end of the third class.
- 25th August 1994Work out 8^(2/3).
- 26th August 1994Work out the equation of the line parallel to y = 3x + 2 that passes through (4, 7).
- 27th August 1994y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 5.
- 28th August 1994A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 29th August 19943 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th August 199415 newts are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
- 31st August 1994Write sqrt(50) in the form a sqrt(b), where b is as small as possible.