Daily Practice · Higher
January 1990 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1990 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1990Factorise x^2 - 144.
- 2nd January 1990x : y = 2 : 3. Write y in terms of x.
- 3rd January 1990A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 4th January 199015 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th January 1990A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 6th January 1990Write 9^-2 as a fraction.
- 7th January 1990A region is defined by y < 2x - 8. Should the boundary line be solid or dashed, and why?
- 8th January 1990A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 9th January 1990The point (3, -6) is enlarged by scale factor -3 about the centre (-1, -3). Write down the coordinates of the image.
- 10th January 19901 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th January 1990A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 12th January 1990Work out (7 x 10^3) x (3 x 10^2). Give your answer in standard form.
- 13th January 1990Factorise x^2 + 5x - 6.
- 14th January 1990y is inversely proportional to x. When x = 3, y = 4. Work out y when x = 2.
- 15th January 1990Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1408 cm^3. Work out the volume of the smaller.
- 16th January 199019 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th January 1990Four classes in order have frequencies 10, 9, 7, 12. Write down the cumulative frequency at the end of the third class.
- 18th January 1990Write the recurring decimal 0.6161... as a fraction in its simplest form.
- 19th January 1990Work out the equation of the line parallel to y = -3x - 4 that passes through (2, -13).
- 20th January 1990y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 7.
- 21st January 1990A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 22nd January 19902 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd January 199055 beetles are marked and released. Later 63 are caught, of which 7 are marked. Estimate the population.
- 24th January 1990A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 25th January 1990A line has equation y = -4x + 7. Work out the gradient of any line perpendicular to it.
- 26th January 1990y is directly proportional to x. When x = 3, y = 27. Work out y when x = 5.
- 27th January 1990ABCD is a cyclic quadrilateral. Angle ABC is 120°. Work out angle ADC.
- 28th January 199012 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th January 1990A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th January 1990A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 31st January 1990For the curve y = 10/x, work out y when x = -1, and write down the equation of its vertical asymptote.