Daily Practice · Higher
May 1976 5-a-day
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The batch download puts all 5 tiers' May 1976 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1976A bill is £384 including VAT at 20%. Work out the amount before VAT.
- 2nd May 1976Factorise x^2 - 64.
- 3rd May 1976A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 4th May 1976A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 5th May 197630 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th May 1976A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 7th May 1976A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th May 1976A region is defined by y <= 2x + 2. Should the boundary line be solid or dashed, and why?
- 9th May 1976y is inversely proportional to x. When x = 3, y = 48. Work out y when x = 12.
- 10th May 1976The point (-2, -5) is enlarged by scale factor -3 about the centre (-2, 2). Write down the coordinates of the image.
- 11th May 19766 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th May 1976Four classes in order have frequencies 10, 9, 9, 4. Write down the cumulative frequency at the end of the third class.
- 13th May 1976Work out (63 x 10^8) / (9 x 10^2). Give your answer in standard form.
- 14th May 1976Factorise x^2 - 9.
- 15th May 1976y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 5.
- 16th May 1976Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 810 cm^3. Work out the volume of the smaller.
- 17th May 197620 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th May 197615 newts are marked and released. Later 28 are caught, of which 7 are marked. Estimate the population.
- 19th May 1976Write the recurring decimal 0.111... as a fraction in its simplest form.
- 20th May 1976Work out the equation of the line parallel to y = -3x + 4 that passes through (4, -16).
- 21st May 1976y is directly proportional to x. When x = 7, y = 63. Work out y when x = 15.
- 22nd May 1976A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 23rd May 19761 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th May 1976A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th May 1976Work out 125^(2/3).
- 26th May 1976A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 27th May 1976A town's population is 28500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 28th May 1976ABCD is a cyclic quadrilateral. Angle ABC is 95°. Work out angle ADC.
- 29th May 197624 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th May 1976A box plot has a minimum of 6 and a maximum of 64. Work out the range.
- 31st May 1976Write sqrt(32) in the form a sqrt(b), where b is as small as possible.