Daily Practice · Higher
February 1979 5-a-day
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The batch download puts all 5 tiers' February 1979 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 19793 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd February 1979A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 3rd February 1979Write the recurring decimal 0.555... as a fraction in its simplest form.
- 4th February 1979Factorise x^2 - 144.
- 5th February 1979A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 6th February 1979A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 7th February 197920 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th February 1979A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 9th February 1979Work out 36^(3/2).
- 10th February 1979A region is defined by y < -3x + 1. Should the boundary line be solid or dashed, and why?
- 11th February 1979y is inversely proportional to x. When x = 2, y = 30. Work out y when x = 6.
- 12th February 1979The point (4, -2) is enlarged by scale factor -2 about the centre (0, 1). Write down the coordinates of the image.
- 13th February 19793 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th February 1979Four classes in order have frequencies 4, 8, 8, 7. Write down the cumulative frequency at the end of the third class.
- 15th February 1979Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 16th February 1979Factorise x^2 - 11x + 24.
- 17th February 1979y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 8.
- 18th February 1979Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 675 cm^3. Work out the volume of the smaller.
- 19th February 197916 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th February 197920 beetles are marked and released. Later 40 are caught, of which 4 are marked. Estimate the population.
- 21st February 1979A meal deal has 8 mains, 7 sides and 6 drinks. How many different meals are possible?
- 22nd February 1979Work out the equation of the line parallel to y = -2x - 1 that passes through (5, -15).
- 23rd February 1979y is directly proportional to x. When x = 2, y = 6. Work out y when x = 5.
- 24th February 1979A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 25th February 19791 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th February 1979A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th February 1979A mass is 24.5 kg, correct to 1 decimal place. Write down the upper bound.
- 28th February 1979A line has equation y = -5x + 1. Work out the gradient of any line perpendicular to it.