Daily Practice · Higher
May 1963 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1963 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1963A 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.
- 2nd May 196317 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd May 1963A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 4th May 1963A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5th May 1963A region is defined by y <= 5x + 6. Should the boundary line be solid or dashed, and why?
- 6th May 1963A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 7th May 1963The point (6, 4) is enlarged by scale factor -2 about the centre (-4, 1). Write down the coordinates of the image.
- 8th May 19631 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th May 1963A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 10th May 1963Work out (40 x 10^7) / (5 x 10^3). Give your answer in standard form.
- 11th May 1963Factorise x^2 + 10x + 24.
- 12th May 1963y is inversely proportional to x. When x = 2, y = 36. Work out y when x = 12.
- 13th May 1963Two 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.
- 14th May 196329 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th May 1963Four classes in order have frequencies 5, 6, 6, 4. Write down the cumulative frequency at the end of the third class.
- 16th May 1963Write the recurring decimal 0.222... as a fraction in its simplest form.
- 17th May 1963Work out the equation of the line parallel to y = 5x + 8 that passes through (1, 1).
- 18th May 1963y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 3.
- 19th May 1963A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 20th May 19633 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st May 196315 voles are marked and released. Later 80 are caught, of which 8 are marked. Estimate the population.
- 22nd May 1963Work out 216^(2/3).
- 23rd May 1963A line has equation y = 3x + 2. Work out the gradient of any line perpendicular to it.
- 24th May 1963y is directly proportional to x. When x = 4, y = 48. Work out y when x = 5.
- 25th May 1963ABCD is a cyclic quadrilateral. Angle ABC is 83°. Work out angle ADC.
- 26th May 196324 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th May 1963A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th May 1963Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 29th May 1963For the curve y = -30/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 30th May 1963A town's population is 37000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 31st May 1963A, B and C are points on a circle with centre O. Angle AOC is 102°. Work out angle ABC, where B is on the major arc.