Daily Practice · Higher
July 1968 5-a-day
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The batch download puts all 5 tiers' July 1968 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1968Work out the equation of the line parallel to y = -x + 2 that passes through (1, -4).
- 2nd July 1968x : y = 2 : 3. Write y in terms of x.
- 3rd July 1968A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 4th July 19681 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th July 1968A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 6th July 1968Write 6^-2 as a fraction.
- 7th July 1968A line has equation y = 2x + 8. Work out the gradient of any line perpendicular to it.
- 8th July 1968A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 9th July 1968ABCD is a cyclic quadrilateral. Angle ABC is 75°. Work out angle ADC.
- 10th July 196823 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th July 1968A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 12th July 1968Work out (7 x 10^4) x (7 x 10^2). Give your answer in standard form.
- 13th July 1968For the curve y = -20/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 14th July 1968y is inversely proportional to x. When x = 3, y = 48. Work out y when x = 12.
- 15th July 1968A, B and C are points on a circle with centre O. Angle AOC is 110°. Work out angle ABC, where B is on the major arc.
- 16th July 19685 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th July 1968Four classes in order have frequencies 12, 8, 10, 8. Write down the cumulative frequency at the end of the third class.
- 18th July 1968Write the recurring decimal 0.5353... as a fraction in its simplest form.
- 19th July 1968Expand and simplify (x - 1)(x - 2)(x + 5).
- 20th July 1968y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 5.
- 21st July 1968A cone has base radius 7 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd July 196815 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd July 196840 newts are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 24th July 1968A bill is £528 including VAT at 20%. Work out the amount before VAT.
- 25th July 1968Make x the subject of y = 8x^2 - 8.
- 26th July 1968y is directly proportional to x. When x = 5, y = 25. Work out y when x = 7.
- 27th July 1968In triangle ABC, angle A is 49°, angle B is 71° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th July 19683 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th July 1968A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th July 1968A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 31st July 1968Factorise x^2 - 49.