Daily Practice · Higher
July 1994 - Higher 5-a-day
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The batch download puts all 5 tiers' July 1994 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1994A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 2nd July 1994A meal deal has 7 mains, 6 sides and 6 drinks. How many different meals are possible?
- 3rd July 1994Factorise x^2 - 2x - 24.
- 4th July 1994A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 5th July 1994Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 351 cm^3. Work out the volume of the smaller.
- 6th July 199420 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th July 1994A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 8th July 1994A mass is 290 kg, correct to the nearest 10. Write down the upper bound.
- 9th July 1994Work out the equation of the line parallel to y = 5x - 3 that passes through (1, -7).
- 10th July 1994y is inversely proportional to x. When x = 4, y = 72. Work out y when x = 12.
- 11th July 1994A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 12th July 19944 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th July 1994Four classes in order have frequencies 11, 10, 8, 9. Write down the cumulative frequency at the end of the third class.
- 14th July 1994Write 5^-3 as a fraction.
- 15th July 1994A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 16th July 1994y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 8.
- 17th July 1994ABCD is a cyclic quadrilateral. Angle ABC is 59°. Work out angle ADC.
- 18th July 199423 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th July 199420 fish are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.
- 20th July 1994Work out (7 x 10^6) x (6 x 10^-3). Give your answer in standard form.
- 21st July 1994For the curve y = -40/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 22nd July 1994y is directly proportional to x. When x = 5, y = 60. Work out y when x = 15.
- 23rd July 1994A, B and C are points on a circle with centre O. Angle AOC is 108°. Work out angle ABC, where B is on the major arc.
- 24th July 19946 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th July 1994A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th July 1994Write the recurring decimal 0.3232... as a fraction in its simplest form.
- 27th July 1994Expand and simplify (x + 1)(x - 2)(x - 4).
- 28th July 1994A town's population is 28000 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 29th July 1994A cone has base radius 7 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 30th July 199421 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st July 1994A box plot has a minimum of 6 and a maximum of 35. Work out the range.