Daily Practice · Higher
April 1994 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' April 1994 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 199428 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd April 1994A box plot has minimum 6, lower quartile 10, median 18, upper quartile 27 and maximum 30. Work out the interquartile range.
- 3rd April 1994Work out (15 x 10^9) / (5 x 10^3). Give your answer in standard form.
- 4th April 1994Work out the equation of the line parallel to y = -4x - 7 that passes through (6, -36).
- 5th April 1994x : y = 2 : 3. Write y in terms of x.
- 6th April 1994A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 7th April 19946 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th April 1994A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 9th April 1994Write the recurring decimal 0.333... as a fraction in its simplest form.
- 10th April 1994A line has equation y = -2x + 9. Work out the gradient of any line perpendicular to it.
- 11th April 1994A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 12th April 1994ABCD is a cyclic quadrilateral. Angle ABC is 93°. Work out angle ADC.
- 13th April 199425 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th April 1994A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 15th April 1994Work out 81^(3/2).
- 16th April 1994For the curve y = 22/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 17th April 1994y is inversely proportional to x. When x = 8, y = 15. Work out y when x = 5.
- 18th April 1994A, B and C are points on a circle with centre O. Angle AOC is 164°. Work out angle ABC, where B is on the major arc.
- 19th April 19943 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th April 1994Four classes in order have frequencies 9, 6, 3, 8. Write down the cumulative frequency at the end of the third class.
- 21st April 1994Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 22nd April 1994Expand and simplify (x - 2)(x + 2)(x - 5).
- 23rd April 1994y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 3.
- 24th April 1994A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 25th April 199413 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th April 199460 voles are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 27th April 1994A meal deal has 7 mains, 7 sides and 6 drinks. How many different meals are possible?
- 28th April 1994Make x the subject of y = 2x^2 - 3.
- 29th April 1994y is directly proportional to x. When x = 5, y = 55. Work out y when x = 9.
- 30th April 1994In triangle ABC, angle A is 41°, angle B is 108° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.