Daily Practice · Higher
July 1987 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1987 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 19874 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd July 1987A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 3rd July 1987Work out (4 x 10^7) x (6 x 10^3). Give your answer in standard form.
- 4th July 1987Factorise x^2 - 9.
- 5th July 1987y is inversely proportional to x. When x = 2, y = 36. Work out y when x = 6.
- 6th July 1987A 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.
- 7th July 198718 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th July 1987Four classes in order have frequencies 3, 12, 10, 11. Write down the cumulative frequency at the end of the third class.
- 9th July 1987Write the recurring decimal 0.3636... as a fraction in its simplest form.
- 10th July 1987A region is defined by y <= 2x - 8. Should the boundary line be solid or dashed, and why?
- 11th July 1987y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 4.
- 12th July 1987The point (0, -3) is enlarged by scale factor -1 about the centre (2, 2). Write down the coordinates of the image.
- 13th July 19872 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th July 198735 beetles are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
- 15th July 1987A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 16th July 1987Factorise x^2 - 4.
- 17th July 1987y is directly proportional to x. When x = 5, y = 55. Work out y when x = 2.
- 18th July 1987Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 270 cm^3. Work out the volume of the smaller.
- 19th July 198731 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th July 1987A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st July 1987A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd July 1987Work out the equation of the line parallel to y = 5x + 7 that passes through (2, 20).
- 23rd July 1987A town's population is 30500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 24th July 1987A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 25th July 19872 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th July 1987A box plot has a minimum of 4 and a maximum of 24. Work out the range.
- 27th July 1987Work out (42 x 10^6) / (6 x 10^2). Give your answer in standard form.
- 28th July 1987A line has equation y = 5x + 9. Work out the gradient of any line perpendicular to it.
- 29th July 1987A block has volume 100 cm^3 and density 8 g/cm^3. Work out its mass.
- 30th July 1987ABCD is a cyclic quadrilateral. Angle ABC is 68°. Work out angle ADC.
- 31st July 198725 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.