Daily Practice · Higher
March 1968 5-a-day
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The batch download puts all 5 tiers' March 1968 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1968A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 2nd March 1968Work out (5 x 10^3) x (6 x 10^-4). Give your answer in standard form.
- 3rd March 1968Make x the subject of y = 9x^2 - 8.
- 4th March 1968A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 5th March 1968In triangle ABC, angle A is 34°, angle B is 98° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th March 19685 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th March 1968A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 8th March 1968Write the recurring decimal 0.1616... as a fraction in its simplest form.
- 9th March 1968Factorise x^2 - 36.
- 10th March 1968y is inversely proportional to x. When x = 4, y = 8. Work out y when x = 2.
- 11th March 1968A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 12th March 196816 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th March 1968Four classes in order have frequencies 5, 5, 5, 12. Write down the cumulative frequency at the end of the third class.
- 14th March 1968A bill is £384 including VAT at 20%. Work out the amount before VAT.
- 15th March 1968A region is defined by y <= 2x + 6. Should the boundary line be solid or dashed, and why?
- 16th March 1968y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 9.
- 17th March 1968The point (-4, 0) is enlarged by scale factor -2 about the centre (-1, -2). Write down the coordinates of the image.
- 18th March 19687 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th March 196835 voles are marked and released. Later 36 are caught, of which 9 are marked. Estimate the population.
- 20th March 1968A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st March 1968Factorise x^2 + 2x - 8.
- 22nd March 1968y is directly proportional to x. When x = 7, y = 42. Work out y when x = 4.
- 23rd March 1968Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 810 cm^3. Work out the volume of the smaller.
- 24th March 196818 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th March 1968A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th March 1968Work out (45 x 10^10) / (9 x 10^4). Give your answer in standard form.
- 27th March 1968Work out the equation of the line parallel to y = x - 5 that passes through (1, -2).
- 28th March 1968A town's population is 10000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 29th March 1968A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 30th March 19688 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st March 1968A box plot has a minimum of 18 and a maximum of 40. Work out the range.