Daily Practice · Higher
March 1994 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1994 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1994A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 2nd March 19943 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd March 1994A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 4th March 1994Write 5^-3 as a fraction.
- 5th March 1994Expand and simplify (x + 2)(x + 2)(x + 5).
- 6th March 1994y is inversely proportional to x. When x = 2, y = 25. Work out y when x = 5.
- 7th March 1994A cone has base radius 10 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 8th March 199425 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th March 1994Four classes in order have frequencies 11, 8, 11, 8. Write down the cumulative frequency at the end of the third class.
- 10th March 1994Work out (9 x 10^7) x (5 x 10^4). Give your answer in standard form.
- 11th March 1994Make x the subject of y = 6x^2 - 12.
- 12th March 1994y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 4.
- 13th March 1994In triangle ABC, angle A is 40°, angle B is 65° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th March 19944 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th March 199430 voles are marked and released. Later 36 are caught, of which 6 are marked. Estimate the population.
- 16th March 1994Write the recurring decimal 0.4747... as a fraction in its simplest form.
- 17th March 1994Factorise x^2 - 36.
- 18th March 1994y is directly proportional to x. When x = 8, y = 24. Work out y when x = 7.
- 19th March 1994A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 20th March 199431 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st March 1994A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd March 1994A bill is £936 including VAT at 20%. Work out the amount before VAT.
- 23rd March 1994A region is defined by y <= 5x - 4. Should the boundary line be solid or dashed, and why?
- 24th March 1994A town's population is 9500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 25th March 1994The point (-6, 3) is enlarged by scale factor -3 about the centre (1, 4). Write down the coordinates of the image.
- 26th March 19945 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th March 1994A box plot has a minimum of 2 and a maximum of 47. Work out the range.
- 28th March 1994A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th March 1994Factorise x^2 + x - 12.
- 30th March 1994A block has volume 160 cm^3 and density 8 g/cm^3. Work out its mass.
- 31st March 1994Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1856 cm^3. Work out the volume of the smaller.