Daily Practice · Higher
May 1966 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1966 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1966Make x the subject of y = 3x^2 - 10.
- 2nd May 1966A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 3rd May 1966In triangle ABC, angle A is 32°, angle B is 117° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th May 19663 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th May 1966A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 6th May 1966Write 9^-1 as a fraction.
- 7th May 1966Factorise x^2 - 100.
- 8th May 1966y is inversely proportional to x. When x = 3, y = 60. Work out y when x = 12.
- 9th May 1966A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 10th May 196615 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 May 1966Four classes in order have frequencies 7, 8, 9, 4. Write down the cumulative frequency at the end of the third class.
- 12th May 1966Work out (5 x 10^5) x (7 x 10^-3). Give your answer in standard form.
- 13th May 1966A region is defined by y <= -5x + 8. Should the boundary line be solid or dashed, and why?
- 14th May 1966y is directly proportional to x^2. When x = 4, y = 128. Work out y when x = 6.
- 15th May 1966The point (-2, 0) is enlarged by scale factor -1 about the centre (-1, 2). Write down the coordinates of the image.
- 16th May 19663 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th May 196630 newts are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 18th May 1966Write the recurring decimal 0.6262... as a fraction in its simplest form.
- 19th May 1966Factorise x^2 + 11x + 24.
- 20th May 1966y is directly proportional to x. When x = 4, y = 12. Work out y when x = 3.
- 21st May 1966Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 648 cm^3. Work out the volume of the smaller.
- 22nd May 196618 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd May 1966A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th May 1966A bill is £264 including VAT at 20%. Work out the amount before VAT.
- 25th May 1966Work out the equation of the line parallel to y = -5x - 5 that passes through (5, -29).
- 26th May 1966A town's population is 30500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 27th May 1966A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 28th May 19662 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th May 1966A box plot has a minimum of 13 and a maximum of 34. Work out the range.
- 30th May 1966A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 31st May 1966A line has equation y = 4x + 8. Work out the gradient of any line perpendicular to it.