Daily Practice · Higher
March 1974 5-a-day
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The batch download puts all 5 tiers' March 1974 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1974A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 2nd March 1974A line has equation y = 4x + 5. Work out the gradient of any line perpendicular to it.
- 3rd March 1974y is inversely proportional to x. When x = 4, y = 6. Work out y when x = 6.
- 4th March 1974ABCD is a cyclic quadrilateral. Angle ABC is 96°. Work out angle ADC.
- 5th March 197416 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th March 1974Four classes in order have frequencies 7, 11, 6, 5. Write down the cumulative frequency at the end of the third class.
- 7th March 1974A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th March 1974For the curve y = 80/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 9th March 1974y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 4.
- 10th March 1974A, B and C are points on a circle with centre O. Angle AOC is 72°. Work out angle ABC, where B is on the major arc.
- 11th March 19741 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th March 197410 newts are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 13th March 1974Work out (6 x 10^8) / (2 x 10^2). Give your answer in standard form.
- 14th March 1974Expand and simplify (x + 1)(x - 2)(x + 3).
- 15th March 1974y is directly proportional to x. When x = 9, y = 81. Work out y when x = 14.
- 16th March 1974A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 17th March 197421 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th March 1974A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th March 1974Write the recurring decimal 0.111... as a fraction in its simplest form.
- 20th March 1974Make x the subject of y = 7x^2 - 8.
- 21st March 1974A town's population is 19500 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 22nd March 1974In triangle ABC, angle A is 60°, angle B is 89° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd March 19742 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th March 1974A box plot has a minimum of 15 and a maximum of 69. Work out the range.
- 25th March 1974Work out 216^(2/3).
- 26th March 1974Factorise x^2 - 64.
- 27th March 1974A block has volume 120 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 28th March 1974A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 29th March 197421 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th March 1974A box plot has minimum 9, lower quartile 11, median 20, upper quartile 25 and maximum 33. Work out the interquartile range.
- 31st March 1974Write sqrt(98) in the form a sqrt(b), where b is as small as possible.