Daily Practice · Higher
March 1978 5-a-day
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The batch download puts all 5 tiers' March 1978 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1978In triangle ABC, angle A is 39°, angle B is 44° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd March 19782 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd March 1978A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 4th March 1978Work out (14 x 10^7) / (2 x 10^4). Give your answer in standard form.
- 5th March 1978Factorise x^2 - 36.
- 6th March 1978A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 7th March 1978A 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.
- 8th March 197822 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th March 1978A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 10th March 1978Write the recurring decimal 0.777... as a fraction in its simplest form.
- 11th March 1978A region is defined by y < 4x - 6. Should the boundary line be solid or dashed, and why?
- 12th March 1978y is inversely proportional to x. When x = 2, y = 10. Work out y when x = 5.
- 13th March 1978The point (0, -5) is enlarged by scale factor -3 about the centre (-2, -4). Write down the coordinates of the image.
- 14th March 19783 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th March 1978Four classes in order have frequencies 10, 6, 7, 11. Write down the cumulative frequency at the end of the third class.
- 16th March 1978Work out 81^(3/2).
- 17th March 1978Factorise x^2 - 16.
- 18th March 1978y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 3.
- 19th March 1978Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 104 cm^3. Work out the volume of the smaller.
- 20th March 197812 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st March 197835 fish are marked and released. Later 21 are caught, of which 7 are marked. Estimate the population.
- 22nd March 1978Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 23rd March 1978Work out the equation of the line parallel to y = -x - 5 that passes through (6, 5).
- 24th March 1978y is directly proportional to x. When x = 9, y = 18. Work out y when x = 6.
- 25th March 1978A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 26th March 19783 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th March 1978A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th March 1978A meal deal has 9 mains, 9 sides and 6 drinks. How many different meals are possible?
- 29th March 1978A line has equation y = -4x + 4. Work out the gradient of any line perpendicular to it.
- 30th March 1978A town's population is 6500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 31st March 1978ABCD is a cyclic quadrilateral. Angle ABC is 63°. Work out angle ADC.