Daily Practice · Higher
April 1997 - Higher 5-a-day
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The batch download puts all 5 tiers' April 1997 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1997x : y = 3 : 8. Write y in terms of x.
- 2nd April 1997The point (2, -4) is enlarged by scale factor -2 about the centre (0, -3). Write down the coordinates of the image.
- 3rd April 19975 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th April 1997A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 5th April 1997Work out (4 x 10^4) x (4 x 10^-5). Give your answer in standard form.
- 6th April 1997Factorise x^2 + 15x + 54.
- 7th April 1997A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 8th April 1997Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 216 cm^3. Work out the volume of the smaller.
- 9th April 199730 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th April 1997A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 11th April 1997Write the recurring decimal 0.6161... as a fraction in its simplest form.
- 12th April 1997Work out the equation of the line parallel to y = -4x - 2 that passes through (2, -9).
- 13th April 1997y is inversely proportional to x. When x = 3, y = 50. Work out y when x = 10.
- 14th April 1997A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 15th April 19971 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th April 1997Four classes in order have frequencies 7, 12, 5, 4. Write down the cumulative frequency at the end of the third class.
- 17th April 1997A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 18th April 1997A line has equation y = 5x + 7. Work out the gradient of any line perpendicular to it.
- 19th April 1997y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 3.
- 20th April 1997ABCD is a cyclic quadrilateral. Angle ABC is 124°. Work out angle ADC.
- 21st April 199710 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd April 199760 fish are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
- 23rd April 1997A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 24th April 1997For the curve y = 36/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 25th April 1997y is directly proportional to x. When x = 7, y = 14. Work out y when x = 11.
- 26th April 1997A, B and C are points on a circle with centre O. Angle AOC is 148°. Work out angle ABC, where B is on the major arc.
- 27th April 19975 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th April 1997A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th April 1997Work out (4 x 10^9) / (2 x 10^5). Give your answer in standard form.
- 30th April 1997Expand and simplify (x + 5)(x + 4)(x + 4).