Daily Practice · Higher
January 1997 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1997 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1997A block has volume 140 cm^3 and density 8 g/cm^3. Work out its mass.
- 2nd January 1997Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 40 cm^3. Work out the volume of the smaller.
- 3rd January 199726 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th January 1997A box plot has minimum 12, lower quartile 19, median 23, upper quartile 28 and maximum 30. Work out the interquartile range.
- 5th January 1997Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 6th January 1997Work out the equation of the line parallel to y = 4x + 4 that passes through (3, 24).
- 7th January 1997x : y = 3 : 7. Write y in terms of x.
- 8th January 1997A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 9th January 19975 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th January 1997A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 11th January 1997A meal deal has 6 mains, 9 sides and 3 drinks. How many different meals are possible?
- 12th January 1997A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 13th January 1997A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 14th January 1997ABCD is a cyclic quadrilateral. Angle ABC is 122°. Work out angle ADC.
- 15th January 199724 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th January 1997A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 17th January 1997A mass is 26.3 kg, correct to 1 decimal place. Write down the lower bound.
- 18th January 1997For the curve y = 48/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 19th January 1997y is inversely proportional to x. When x = 2, y = 6. Work out y when x = 6.
- 20th January 1997A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 21st January 19973 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd January 1997Four classes in order have frequencies 8, 4, 5, 10. Write down the cumulative frequency at the end of the third class.
- 23rd January 1997Write 9^-2 as a fraction.
- 24th January 1997Expand and simplify (x + 5)(x - 4)(x - 2).
- 25th January 1997y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 8.
- 26th January 1997A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 27th January 199720 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th January 199750 newts are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 29th January 1997Work out (3 x 10^5) x (5 x 10^3). Give your answer in standard form.
- 30th January 1997Make x the subject of y = 7x^2 - 12.
- 31st January 1997y is directly proportional to x. When x = 7, y = 28. Work out y when x = 11.