Daily Practice · Higher
March 1986 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1986 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1986A cone has base radius 4 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd March 198623 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd March 1986A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th March 1986Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 5th March 1986Make x the subject of y = 2x^2 - 3.
- 6th March 1986A town's population is 10500 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 7th March 1986In triangle ABC, angle A is 34°, angle B is 94° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th March 19865 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th March 1986A box plot has a minimum of 13 and a maximum of 33. Work out the range.
- 10th March 1986A meal deal has 8 mains, 9 sides and 3 drinks. How many different meals are possible?
- 11th March 1986Factorise x^2 - 100.
- 12th March 1986A block has volume 10 cm^3 and density 3 g/cm^3. Work out its mass.
- 13th March 1986A 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.
- 14th March 198618 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th March 1986A box plot has minimum 15, lower quartile 25, median 33, upper quartile 37 and maximum 46. Work out the interquartile range.
- 16th March 1986A mass is 34 kg, correct to the nearest whole number. Write down the upper bound.
- 17th March 1986A region is defined by y <= 3x - 6. Should the boundary line be solid or dashed, and why?
- 18th March 1986x : y = 5 : 7. Write y in terms of x.
- 19th March 1986The point (6, -1) is enlarged by scale factor -2 about the centre (4, -4). Write down the coordinates of the image.
- 20th March 19864 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st March 1986A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 22nd March 1986Write 2^-2 as a fraction.
- 23rd March 1986Factorise x^2 + 11x + 24.
- 24th March 1986A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 25th March 1986Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
- 26th March 198628 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 March 1986A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 28th March 1986Work out (8 x 10^6) x (8 x 10^6). Give your answer in standard form.
- 29th March 1986Work out the equation of the line parallel to y = -4x - 5 that passes through (1, -12).
- 30th March 1986y is inversely proportional to x. When x = 6, y = 4. Work out y when x = 4.
- 31st March 1986A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.