Daily Practice · Higher
April 1985 5-a-day
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The batch download puts all 5 tiers' April 1985 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1985A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd April 1985Work out 125^(2/3).
- 3rd April 1985Make x the subject of y = 3x^2 - 9.
- 4th April 1985A town's population is 27000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 5th April 1985In triangle ABC, angle A is 61°, angle B is 62° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th April 19852 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th April 1985A box plot has a minimum of 10 and a maximum of 41. Work out the range.
- 8th April 1985Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 9th April 1985Factorise x^2 - 36.
- 10th April 1985A block has volume 45 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 11th April 1985A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 12th April 198523 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th April 1985A box plot has minimum 10, lower quartile 13, median 18, upper quartile 28 and maximum 33. Work out the interquartile range.
- 14th April 1985A meal deal has 7 mains, 4 sides and 4 drinks. How many different meals are possible?
- 15th April 1985A region is defined by y <= x - 3. Should the boundary line be solid or dashed, and why?
- 16th April 1985x : y = 7 : 9. Write y in terms of x.
- 17th April 1985The point (6, 4) is enlarged by scale factor -3 about the centre (-4, 0). Write down the coordinates of the image.
- 18th April 19852 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th April 1985A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 20th April 1985A mass is 590 kg, correct to the nearest 10. Write down the lower bound.
- 21st April 1985Factorise x^2 + 12x + 27.
- 22nd April 1985A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 23rd April 1985Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2432 cm^3. Work out the volume of the smaller.
- 24th April 198523 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th April 1985A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 26th April 1985Write 8^-1 as a fraction.
- 27th April 1985Work out the equation of the line parallel to y = x - 3 that passes through (5, 11).
- 28th April 1985y is inversely proportional to x. When x = 5, y = 6. Work out y when x = 3.
- 29th April 1985A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 30th April 19853 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.