Daily Practice · Higher
November 1992 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1992 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 19928 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd November 1992A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd November 1992Work out 100^(3/2).
- 4th November 1992For the curve y = -4/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 5th November 1992A town's population is 31500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 6th November 1992A, B and C are points on a circle with centre O. Angle AOC is 52°. Work out angle ABC, where B is on the major arc.
- 7th November 19923 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th November 1992A box plot has a minimum of 16 and a maximum of 70. Work out the range.
- 9th November 1992Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 10th November 1992Expand and simplify (x + 2)(x + 3)(x + 3).
- 11th November 1992A block has volume 105 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 12th November 1992A cone has base radius 7 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 13th November 199222 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th November 1992A box plot has minimum 9, lower quartile 11, median 13, upper quartile 20 and maximum 26. Work out the interquartile range.
- 15th November 1992A meal deal has 8 mains, 8 sides and 6 drinks. How many different meals are possible?
- 16th November 1992Make x the subject of y = 3x^2 - 6.
- 17th November 1992x : y = 5 : 8. Write y in terms of x.
- 18th November 1992In triangle ABC, angle A is 39°, angle B is 62° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th November 19924 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th November 1992A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 21st November 1992A mass is 27.8 kg, correct to 1 decimal place. Write down the lower bound.
- 22nd November 1992Factorise x^2 - 49.
- 23rd November 1992A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 24th November 1992A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 25th November 199224 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th November 1992A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 27th November 1992Write 7^-1 as a fraction.
- 28th November 1992A region is defined by y <= 2x - 5. Should the boundary line be solid or dashed, and why?
- 29th November 1992y is inversely proportional to x. When x = 6, y = 15. Work out y when x = 3.
- 30th November 1992The point (-4, -5) is enlarged by scale factor -1 about the centre (-2, -2). Write down the coordinates of the image.