Daily Practice · Higher
June 1952 5-a-day
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The batch download puts all 5 tiers' June 1952 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1952
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1952Factorise x^2 - 121.
- 2nd June 1952A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 3rd June 1952A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 4th June 195213 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th June 1952A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 6th June 1952Write 5^-3 as a fraction.
- 7th June 1952A region is defined by y < 2x + 6. Should the boundary line be solid or dashed, and why?
- 8th June 1952y is inversely proportional to x. When x = 2, y = 8. Work out y when x = 4.
- 9th June 1952The point (-1, -4) is enlarged by scale factor -3 about the centre (0, 2). Write down the coordinates of the image.
- 10th June 19525 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th June 1952Four classes in order have frequencies 8, 10, 8, 11. Write down the cumulative frequency at the end of the third class.
- 12th June 1952Work out (4 x 10^5) x (9 x 10^6). Give your answer in standard form.
- 13th June 1952Factorise x^2 + 2x - 24.
- 14th June 1952y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 2.
- 15th June 1952Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 384 cm^3. Work out the volume of the smaller.
- 16th June 195216 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th June 195235 voles are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 18th June 1952Write the recurring decimal 0.4747... as a fraction in its simplest form.
- 19th June 1952Work out the equation of the line parallel to y = -x - 6 that passes through (5, -16).
- 20th June 1952y is directly proportional to x. When x = 7, y = 28. Work out y when x = 9.
- 21st June 1952A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 22nd June 19522 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd June 1952A cumulative frequency graph is drawn for 216 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th June 1952A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 25th June 1952A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.
- 26th June 1952A town's population is 24000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 27th June 1952ABCD is a cyclic quadrilateral. Angle ABC is 52°. Work out angle ADC.
- 28th June 195226 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 1952A box plot has a minimum of 14 and a maximum of 34. Work out the range.
- 30th June 1952A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?