Daily Practice · Higher
March 1958 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1958 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1958Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 2nd March 1958Expand and simplify (x - 4)(x - 1)(x + 1).
- 3rd March 1958A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4th March 1958A cone has base radius 7 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 5th March 195818 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th March 1958A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 7th March 1958A meal deal has 8 mains, 5 sides and 6 drinks. How many different meals are possible?
- 8th March 1958Make x the subject of y = 9x^2 - 12.
- 9th March 1958y is inversely proportional to x. When x = 5, y = 18. Work out y when x = 3.
- 10th March 1958In triangle ABC, angle A is 63°, angle B is 44° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th March 19581 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th March 1958Four classes in order have frequencies 11, 3, 12, 3. Write down the cumulative frequency at the end of the third class.
- 13th March 1958A mass is 55 kg, correct to the nearest whole number. Write down the upper bound.
- 14th March 1958Factorise x^2 - 49.
- 15th March 1958y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 2.
- 16th March 1958A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 17th March 195818 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 195810 newts are marked and released. Later 9 are caught, of which 3 are marked. Estimate the population.
- 19th March 1958Write 9^-3 as a fraction.
- 20th March 1958A region is defined by y < -4x + 9. Should the boundary line be solid or dashed, and why?
- 21st March 1958y is directly proportional to x. When x = 9, y = 27. Work out y when x = 15.
- 22nd March 1958The point (6, -1) is enlarged by scale factor -3 about the centre (2, 1). Write down the coordinates of the image.
- 23rd March 19581 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th March 1958A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th March 1958Work out (4 x 10^3) x (3 x 10^2). Give your answer in standard form.
- 26th March 1958Factorise x^2 + 4x + 3.
- 27th March 1958A town's population is 3500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 28th March 1958Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 972 cm^3. Work out the volume of the smaller.
- 29th March 195822 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th March 1958A box plot has a minimum of 15 and a maximum of 50. Work out the range.
- 31st March 1958Write the recurring decimal 0.6464... as a fraction in its simplest form.