Daily Practice · Higher
November 1989 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1989 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1989Write 2^-1 as a fraction.
- 2nd November 1989Expand and simplify (x + 2)(x - 1)(x + 3).
- 3rd November 1989y is directly proportional to x. When x = 8, y = 56. Work out y when x = 10.
- 4th November 1989A cone has base radius 9 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 5th November 198912 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th November 1989A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th November 1989Work out (2 x 10^3) x (2 x 10^-4). Give your answer in standard form.
- 8th November 1989Make x the subject of y = 7x^2 - 5.
- 9th November 1989A town's population is 37000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 10th November 1989In triangle ABC, angle A is 71°, angle B is 32° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th November 19898 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th November 1989A box plot has a minimum of 15 and a maximum of 60. Work out the range.
- 13th November 1989Write the recurring decimal 0.9494... as a fraction in its simplest form.
- 14th November 1989Factorise x^2 - 49.
- 15th November 1989A block has volume 190 cm^3 and density 3 g/cm^3. Work out its mass.
- 16th November 1989A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 17th November 198915 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th November 1989A box plot has minimum 11, lower quartile 20, median 23, upper quartile 33 and maximum 42. Work out the interquartile range.
- 19th November 1989A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 20th November 1989A region is defined by y <= 5x + 2. Should the boundary line be solid or dashed, and why?
- 21st November 1989x : y = 7 : 9. Write y in terms of x.
- 22nd November 1989The point (-3, -3) is enlarged by scale factor -1 about the centre (-1, -2). Write down the coordinates of the image.
- 23rd November 19892 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th November 1989A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 25th November 1989A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th November 1989Factorise x^2 - 12x + 35.
- 27th November 1989A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 28th November 1989Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 40 cm^3. Work out the volume of the smaller.
- 29th November 198923 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th November 1989A histogram class is 2 units wide and contains 6 values. Work out the frequency density.