Daily Practice · Higher
July 1976 5-a-day
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The batch download puts all 5 tiers' July 1976 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1976Factorise x^2 - 11x + 18.
- 2nd July 1976y is directly proportional to x. When x = 4, y = 32. Work out y when x = 5.
- 3rd July 1976Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 378 cm^3. Work out the volume of the smaller.
- 4th July 197623 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th July 1976A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th July 1976A bill is £360 including VAT at 20%. Work out the amount before VAT.
- 7th July 1976Work out the equation of the line parallel to y = 2x + 3 that passes through (6, 6).
- 8th July 1976A town's population is 40000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 9th July 1976A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 10th July 19762 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th July 1976A box plot has a minimum of 15 and a maximum of 39. Work out the range.
- 12th July 1976A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th July 1976A line has equation y = 5x + 5. Work out the gradient of any line perpendicular to it.
- 14th July 1976A block has volume 100 cm^3 and density 4 g/cm^3. Work out its mass.
- 15th July 1976ABCD is a cyclic quadrilateral. Angle ABC is 130°. Work out angle ADC.
- 16th July 197627 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th July 1976A box plot has minimum 7, lower quartile 9, median 16, upper quartile 23 and maximum 28. Work out the interquartile range.
- 18th July 1976Work out (24 x 10^7) / (4 x 10^2). Give your answer in standard form.
- 19th July 1976For the curve y = 3/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 20th July 1976x : y = 2 : 7. Write y in terms of x.
- 21st July 1976A, B and C are points on a circle with centre O. Angle AOC is 144°. Work out angle ABC, where B is on the major arc.
- 22nd July 19763 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd July 1976A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 24th July 1976Write the recurring decimal 0.111... as a fraction in its simplest form.
- 25th July 1976Expand and simplify (x + 5)(x + 2)(x + 5).
- 26th July 1976A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 27th July 1976A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 28th July 197628 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th July 1976A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 30th July 1976Work out 64^(2/3).
- 31st July 1976Make x the subject of y = 8x^2 - 10.