Daily Practice · Higher
July 1958 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1958 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1958x : y = 5 : 8. Write y in terms of x.
- 2nd July 1958Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 312 cm^3. Work out the volume of the smaller.
- 3rd July 195817 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th July 1958A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 5th July 1958Work out 100^(3/2).
- 6th July 1958Work out the equation of the line parallel to y = -2x - 4 that passes through (6, -2).
- 7th July 1958A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 8th July 1958A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 9th July 19582 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th July 1958A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 11th July 1958Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 12th July 1958A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 13th July 1958y is inversely proportional to x. When x = 8, y = 30. Work out y when x = 6.
- 14th July 1958ABCD is a cyclic quadrilateral. Angle ABC is 115°. Work out angle ADC.
- 15th July 195822 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th July 1958Four classes in order have frequencies 9, 8, 7, 12. Write down the cumulative frequency at the end of the third class.
- 17th July 1958A meal deal has 3 mains, 9 sides and 3 drinks. How many different meals are possible?
- 18th July 1958For the curve y = -5/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 19th July 1958y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 3.
- 20th July 1958A, B and C are points on a circle with centre O. Angle AOC is 56°. Work out angle ABC, where B is on the major arc.
- 21st July 19581 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd July 195830 voles are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 23rd July 1958A mass is 70 kg, correct to the nearest whole number. Write down the upper bound.
- 24th July 1958Expand and simplify (x + 3)(x + 3)(x - 2).
- 25th July 1958y is directly proportional to x. When x = 4, y = 16. Work out y when x = 10.
- 26th July 1958A cone has base radius 5 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 27th July 195817 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th July 1958A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th July 1958Write 6^-3 as a fraction.
- 30th July 1958Make x the subject of y = 4x^2 - 7.
- 31st July 1958A town's population is 34500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.