Daily Practice · Higher
November 2020 - Higher 5-a-day
Every Higher sheet published in November 2020, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2020 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2020For the curve y = -60/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 2nd November 2020A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 3rd November 2020A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 4th November 20205 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th November 2020A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 6th November 2020Work out 81^(3/2).
- 7th November 2020Expand and simplify (x - 5)(x - 1)(x - 4).
- 8th November 2020y is inversely proportional to x. When x = 8, y = 72. Work out y when x = 12.
- 9th November 2020A cone has base radius 5 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 10th November 202019 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th November 2020Four classes in order have frequencies 3, 4, 4, 3. Write down the cumulative frequency at the end of the third class.
- 12th November 2020Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 13th November 2020Make x the subject of y = 6x^2 - 9.
- 14th November 2020y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
- 15th November 2020In triangle ABC, angle A is 59°, angle B is 45° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th November 20201 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th November 202050 newts are marked and released. Later 16 are caught, of which 4 are marked. Estimate the population.
- 18th November 2020A meal deal has 3 mains, 5 sides and 2 drinks. How many different meals are possible?
- 19th November 2020Factorise x^2 - 16.
- 20th November 2020y is directly proportional to x. When x = 7, y = 70. Work out y when x = 10.
- 21st November 2020A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 22nd November 202015 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd November 2020A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th November 2020A mass is 150 kg, correct to the nearest 10. Write down the upper bound.
- 25th November 2020A region is defined by y <= 4x - 1. Should the boundary line be solid or dashed, and why?
- 26th November 2020A town's population is 37500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 27th November 2020The point (0, 4) is enlarged by scale factor -3 about the centre (-1, -1). Write down the coordinates of the image.
- 28th November 20203 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th November 2020A box plot has a minimum of 15 and a maximum of 47. Work out the range.
- 30th November 2020Write 6^-3 as a fraction.