Daily Practice · Higher
June 1960 5-a-day
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The batch download puts all 5 tiers' June 1960 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1960Make x the subject of y = 5x^2 - 5.
- 2nd June 1960A town's population is 21500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 3rd June 1960In triangle ABC, angle A is 37°, angle B is 58° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th June 19601 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th June 1960A box plot has a minimum of 6 and a maximum of 36. Work out the range.
- 6th June 1960A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 7th June 1960Factorise x^2 - 9.
- 8th June 1960A block has volume 170 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 9th June 1960A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 10th June 196015 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th June 1960A box plot has minimum 1, lower quartile 10, median 12, upper quartile 21 and maximum 25. Work out the interquartile range.
- 12th June 1960A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th June 1960A region is defined by y <= -4x - 6. Should the boundary line be solid or dashed, and why?
- 14th June 1960x : y = 3 : 7. Write y in terms of x.
- 15th June 1960The point (-1, -1) is enlarged by scale factor -1 about the centre (1, -3). Write down the coordinates of the image.
- 16th June 19604 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th June 1960A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 18th June 1960Work out (45 x 10^8) / (9 x 10^4). Give your answer in standard form.
- 19th June 1960Factorise x^2 - 5x - 14.
- 20th June 1960A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 21st June 1960Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 144 cm^3. Work out the volume of the smaller.
- 22nd June 196016 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd June 1960A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 24th June 1960Write the recurring decimal 0.888... as a fraction in its simplest form.
- 25th June 1960Work out the equation of the line parallel to y = 4x + 6 that passes through (6, 28).
- 26th June 1960y is inversely proportional to x. When x = 7, y = 40. Work out y when x = 10.
- 27th June 1960A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 28th June 19606 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th June 1960Four classes in order have frequencies 4, 4, 4, 5. Write down the cumulative frequency at the end of the third class.
- 30th June 1960Work out 100^(3/2).