Daily Practice · Higher
September 1990 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1990 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 199021 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd September 1990A box plot has a minimum of 12 and a maximum of 56. Work out the range.
- 3rd September 1990Work out 216^(2/3).
- 4th September 1990A region is defined by y < x + 8. Should the boundary line be solid or dashed, and why?
- 5th September 1990A block has volume 105 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 6th September 1990The point (1, 3) is enlarged by scale factor -1 about the centre (0, -3). Write down the coordinates of the image.
- 7th September 19903 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th September 1990A box plot has minimum 1, lower quartile 9, median 15, upper quartile 22 and maximum 27. Work out the interquartile range.
- 9th September 1990Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 10th September 1990Factorise x^2 - 10x + 16.
- 11th September 1990x : y = 3 : 8. Write y in terms of x.
- 12th September 1990Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2496 cm^3. Work out the volume of the smaller.
- 13th September 199028 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th September 1990A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 15th September 1990A meal deal has 7 mains, 8 sides and 5 drinks. How many different meals are possible?
- 16th September 1990Work out the equation of the line parallel to y = -4x - 8 that passes through (2, -3).
- 17th September 1990A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 18th September 1990A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 19th September 19903 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th September 1990A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 21st September 1990A mass is 7.8 kg, correct to 1 decimal place. Write down the lower bound.
- 22nd September 1990A line has equation y = -3x + 6. Work out the gradient of any line perpendicular to it.
- 23rd September 1990y is inversely proportional to x. When x = 9, y = 10. Work out y when x = 5.
- 24th September 1990ABCD is a cyclic quadrilateral. Angle ABC is 95°. Work out angle ADC.
- 25th September 199011 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th September 1990Four classes in order have frequencies 10, 9, 7, 12. Write down the cumulative frequency at the end of the third class.
- 27th September 1990Write 5^-3 as a fraction.
- 28th September 1990For the curve y = -25/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 29th September 1990y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 7.
- 30th September 1990A, B and C are points on a circle with centre O. Angle AOC is 120°. Work out angle ABC, where B is on the major arc.