Daily Practice · Higher
June 1995 - Higher 5-a-day
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The batch download puts all 5 tiers' June 1995 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 19953 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd June 1995A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 3rd June 1995A mass is 30 kg, correct to the nearest whole number. Write down the lower bound.
- 4th June 1995Factorise x^2 - 8x + 7.
- 5th June 1995A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 6th June 1995Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 756 cm^3. Work out the volume of the smaller.
- 7th June 199525 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th June 1995A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 9th June 1995Write 8^-2 as a fraction.
- 10th June 1995Work out the equation of the line parallel to y = 3x + 2 that passes through (5, 5).
- 11th June 1995y is inversely proportional to x. When x = 8, y = 6. Work out y when x = 2.
- 12th June 1995A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 13th June 19953 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th June 1995Four classes in order have frequencies 4, 12, 12, 10. Write down the cumulative frequency at the end of the third class.
- 15th June 1995Work out (4 x 10^7) x (4 x 10^-6). Give your answer in standard form.
- 16th June 1995A line has equation y = 3x + 7. Work out the gradient of any line perpendicular to it.
- 17th June 1995y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 5.
- 18th June 1995ABCD is a cyclic quadrilateral. Angle ABC is 50°. Work out angle ADC.
- 19th June 199511 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th June 199540 fish are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 21st June 1995Write the recurring decimal 0.8181... as a fraction in its simplest form.
- 22nd June 1995For the curve y = 14/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 23rd June 1995y is directly proportional to x. When x = 3, y = 24. Work out y when x = 15.
- 24th June 1995A, B and C are points on a circle with centre O. Angle AOC is 46°. Work out angle ABC, where B is on the major arc.
- 25th June 19953 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th June 1995A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th June 1995A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 28th June 1995Expand and simplify (x + 2)(x + 4)(x + 5).
- 29th June 1995A town's population is 20000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 30th June 1995A cone has base radius 10 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.