Daily Practice · Higher
February 1989 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1989 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1989A 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.
- 2nd February 198919 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd February 1989A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 4th February 1989A mass is 24.4 kg, correct to 1 decimal place. Write down the lower bound.
- 5th February 1989A region is defined by y < -x - 3. Should the boundary line be solid or dashed, and why?
- 6th February 1989A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 7th February 1989The point (2, 1) is enlarged by scale factor -1 about the centre (-2, 2). Write down the coordinates of the image.
- 8th February 19892 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th February 1989A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 10th February 1989Write 4^-3 as a fraction.
- 11th February 1989Factorise x^2 + 8x - 9.
- 12th February 1989y is inversely proportional to x. When x = 7, y = 15. Work out y when x = 5.
- 13th February 1989Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 594 cm^3. Work out the volume of the smaller.
- 14th February 198918 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th February 1989Four classes in order have frequencies 9, 10, 9, 3. Write down the cumulative frequency at the end of the third class.
- 16th February 1989Work out (3 x 10^4) x (3 x 10^6). Give your answer in standard form.
- 17th February 1989Work out the equation of the line parallel to y = 4x + 8 that passes through (6, 16).
- 18th February 1989y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 3.
- 19th February 1989A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 20th February 19891 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st February 198930 voles are marked and released. Later 36 are caught, of which 9 are marked. Estimate the population.
- 22nd February 1989Write the recurring decimal 0.8686... as a fraction in its simplest form.
- 23rd February 1989A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 24th February 1989y is directly proportional to x. When x = 9, y = 54. Work out y when x = 13.
- 25th February 1989ABCD is a cyclic quadrilateral. Angle ABC is 78°. Work out angle ADC.
- 26th February 198920 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th February 1989A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th February 1989A bill is £768 including VAT at 20%. Work out the amount before VAT.