Daily Practice · Higher
November 1967 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1967 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 196712 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd November 1967A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 3rd November 1967A bill is £456 including VAT at 20%. Work out the amount before VAT.
- 4th November 1967Work out the equation of the line parallel to y = x - 8 that passes through (2, 10).
- 5th November 1967y is inversely proportional to x. When x = 4, y = 12. Work out y when x = 6.
- 6th November 1967A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 7th November 19671 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th November 1967Four classes in order have frequencies 11, 9, 4, 9. Write down the cumulative frequency at the end of the third class.
- 9th November 1967A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th November 1967A line has equation y = 5x + 1. Work out the gradient of any line perpendicular to it.
- 11th November 1967y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 5.
- 12th November 1967ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 13th November 196720 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th November 196755 fish are marked and released. Later 90 are caught, of which 9 are marked. Estimate the population.
- 15th November 1967Work out (42 x 10^7) / (6 x 10^5). Give your answer in standard form.
- 16th November 1967For the curve y = -4/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 17th November 1967y is directly proportional to x. When x = 6, y = 24. Work out y when x = 13.
- 18th November 1967A, B and C are points on a circle with centre O. Angle AOC is 66°. Work out angle ABC, where B is on the major arc.
- 19th November 19674 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th November 1967A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st November 1967Write the recurring decimal 0.333... as a fraction in its simplest form.
- 22nd November 1967Expand and simplify (x - 1)(x + 4)(x - 1).
- 23rd November 1967A town's population is 33000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 24th November 1967A cone has base radius 4 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 25th November 196714 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th November 1967A box plot has a minimum of 17 and a maximum of 65. Work out the range.
- 27th November 1967Work out 100^(3/2).
- 28th November 1967Make x the subject of y = 6x^2 - 6.
- 29th November 1967A block has volume 60 cm^3 and density 4 g/cm^3. Work out its mass.
- 30th November 1967In triangle ABC, angle A is 42°, angle B is 80° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.