Daily Practice · Higher
March 1961 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1961 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1961
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 196122 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd March 1961A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 3rd March 1961A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th March 1961For the curve y = -8/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 5th March 1961y is inversely proportional to x. When x = 6, y = 30. Work out y when x = 5.
- 6th March 1961A, B and C are points on a circle with centre O. Angle AOC is 76°. Work out angle ABC, where B is on the major arc.
- 7th March 19611 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th March 1961Four classes in order have frequencies 10, 10, 6, 7. Write down the cumulative frequency at the end of the third class.
- 9th March 1961Work out (54 x 10^8) / (6 x 10^2). Give your answer in standard form.
- 10th March 1961Expand and simplify (x + 3)(x - 5)(x - 3).
- 11th March 1961y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 2.
- 12th March 1961A cone has base radius 2 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 13th March 196114 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th March 196130 voles are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 15th March 1961Write the recurring decimal 0.222... as a fraction in its simplest form.
- 16th March 1961Make x the subject of y = 7x^2 - 10.
- 17th March 1961y is directly proportional to x. When x = 8, y = 96. Work out y when x = 10.
- 18th March 1961In triangle ABC, angle A is 80°, angle B is 47° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th March 19613 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th March 1961A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st March 1961Work out 27^(2/3).
- 22nd March 1961Factorise x^2 - 36.
- 23rd March 1961A town's population is 15000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 24th March 1961A 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.
- 25th March 196123 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th March 1961A box plot has a minimum of 18 and a maximum of 75. Work out the range.
- 27th March 1961Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 28th March 1961A region is defined by y < -3x - 8. Should the boundary line be solid or dashed, and why?
- 29th March 1961A block has volume 185 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 30th March 1961The point (-4, 6) is enlarged by scale factor -3 about the centre (3, 1). Write down the coordinates of the image.
- 31st March 19611 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.