Daily Practice · Higher
June 1975 5-a-day
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The batch download puts all 5 tiers' June 1975 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1975Factorise x^2 - 9.
- 2nd June 1975A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 3rd June 1975A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 4th June 197519 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th June 1975A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 6th June 1975A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 7th June 1975A region is defined by y < -4x - 8. Should the boundary line be solid or dashed, and why?
- 8th June 1975y is inversely proportional to x. When x = 2, y = 9. Work out y when x = 3.
- 9th June 1975The point (3, -1) is enlarged by scale factor -3 about the centre (-2, 0). Write down the coordinates of the image.
- 10th June 19752 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th June 1975Four classes in order have frequencies 5, 3, 10, 4. Write down the cumulative frequency at the end of the third class.
- 12th June 1975A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th June 1975Factorise x^2 + 9x + 8.
- 14th June 1975y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 2.
- 15th June 1975Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 104 cm^3. Work out the volume of the smaller.
- 16th June 197514 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th June 197510 newts are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
- 18th June 1975Work out (15 x 10^12) / (3 x 10^3). Give your answer in standard form.
- 19th June 1975Work out the equation of the line parallel to y = 4x + 3 that passes through (6, 16).
- 20th June 1975y is directly proportional to x. When x = 2, y = 18. Work out y when x = 12.
- 21st June 1975A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 22nd June 19751 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd June 1975A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th June 1975Write the recurring decimal 0.444... as a fraction in its simplest form.
- 25th June 1975A line has equation y = 5x + 6. Work out the gradient of any line perpendicular to it.
- 26th June 1975A town's population is 24000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 27th June 1975ABCD is a cyclic quadrilateral. Angle ABC is 64°. Work out angle ADC.
- 28th June 197523 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th June 1975A box plot has a minimum of 2 and a maximum of 36. Work out the range.
- 30th June 1975Work out 100^(3/2).