Daily Practice · Higher
July 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1959 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1959Make x the subject of y = 8x^2 - 3.
- 2nd July 1959A town's population is 21000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 3rd July 1959In triangle ABC, angle A is 62°, angle B is 82° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th July 19594 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th July 1959A box plot has a minimum of 17 and a maximum of 29. Work out the range.
- 6th July 1959Write the recurring decimal 0.8686... as a fraction in its simplest form.
- 7th July 1959Factorise x^2 - 49.
- 8th July 1959A block has volume 105 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 9th July 1959A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 10th July 195922 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th July 1959A box plot has minimum 8, lower quartile 18, median 21, upper quartile 30 and maximum 38. Work out the interquartile range.
- 12th July 1959A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 13th July 1959A region is defined by y <= 4x + 1. Should the boundary line be solid or dashed, and why?
- 14th July 1959x : y = 5 : 8. Write y in terms of x.
- 15th July 1959The point (2, 5) is enlarged by scale factor -3 about the centre (-4, -2). Write down the coordinates of the image.
- 16th July 19595 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th July 1959A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 18th July 1959A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 19th July 1959Factorise x^2 - 12x + 36.
- 20th July 1959A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 21st July 1959Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 540 cm^3. Work out the volume of the smaller.
- 22nd July 195913 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 July 1959A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 24th July 1959Work out (24 x 10^6) / (3 x 10^3). Give your answer in standard form.
- 25th July 1959Work out the equation of the line parallel to y = -4x + 8 that passes through (4, -21).
- 26th July 1959y is inversely proportional to x. When x = 5, y = 4. Work out y when x = 2.
- 27th July 1959A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 28th July 19594 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th July 1959Four classes in order have frequencies 8, 12, 8, 11. Write down the cumulative frequency at the end of the third class.
- 30th July 1959Write the recurring decimal 0.111... as a fraction in its simplest form.
- 31st July 1959A line has equation y = -2x + 3. Work out the gradient of any line perpendicular to it.