Daily Practice · Higher
September 1988 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1988 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1988Write the recurring decimal 0.444... as a fraction in its simplest form.
- 2nd September 1988Make x the subject of y = 2x^2 - 9.
- 3rd September 1988y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 2.
- 4th September 1988In triangle ABC, angle A is 67°, angle B is 37° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th September 19887 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th September 198810 voles are marked and released. Later 40 are caught, of which 4 are marked. Estimate the population.
- 7th September 1988Work out 100^(3/2).
- 8th September 1988Factorise x^2 - 36.
- 9th September 1988y is directly proportional to x. When x = 4, y = 28. Work out y when x = 10.
- 10th September 1988A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 11th September 198815 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th September 1988A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th September 1988Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 14th September 1988A region is defined by y < 5x - 6. Should the boundary line be solid or dashed, and why?
- 15th September 1988A town's population is 30000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 16th September 1988The point (5, 0) is enlarged by scale factor -3 about the centre (0, -1). Write down the coordinates of the image.
- 17th September 19884 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th September 1988A box plot has a minimum of 14 and a maximum of 54. Work out the range.
- 19th September 1988A meal deal has 5 mains, 7 sides and 3 drinks. How many different meals are possible?
- 20th September 1988Factorise x^2 + 4x + 3.
- 21st September 1988A block has volume 80 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 22nd September 1988Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2496 cm^3. Work out the volume of the smaller.
- 23rd September 198819 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th September 1988A box plot has minimum 13, lower quartile 22, median 25, upper quartile 32 and maximum 37. Work out the interquartile range.
- 25th September 1988A mass is 19.4 kg, correct to 1 decimal place. Write down the upper bound.
- 26th September 1988Work out the equation of the line parallel to y = 3x - 2 that passes through (5, 6).
- 27th September 1988x : y = 2 : 9. Write y in terms of x.
- 28th September 1988A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 29th September 19883 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th September 1988A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.