Daily Practice · Higher
November 2018 - Higher 5-a-day
Every Higher sheet published in November 2018, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2018 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2018A town's population is 30000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 2nd November 2018A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 3rd November 20182 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th November 2018A box plot has a minimum of 20 and a maximum of 47. Work out the range.
- 5th November 2018Write the recurring decimal 0.333... as a fraction in its simplest form.
- 6th November 2018A line has equation y = 4x + 1. Work out the gradient of any line perpendicular to it.
- 7th November 2018A block has volume 90 cm^3 and density 3 g/cm^3. Work out its mass.
- 8th November 2018ABCD is a cyclic quadrilateral. Angle ABC is 126°. Work out angle ADC.
- 9th November 201832 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th November 2018A box plot has minimum 6, lower quartile 14, median 22, upper quartile 29 and maximum 34. Work out the interquartile range.
- 11th November 2018Work out 216^(2/3).
- 12th November 2018For the curve y = -5/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 13th November 2018x : y = 2 : 7. Write y in terms of x.
- 14th November 2018A, B and C are points on a circle with centre O. Angle AOC is 112°. Work out angle ABC, where B is on the major arc.
- 15th November 20182 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th November 2018A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 17th November 2018Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 18th November 2018Expand and simplify (x + 5)(x + 4)(x + 4).
- 19th November 2018A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 20th November 2018A cone has base radius 10 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 21st November 201811 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd November 2018A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 23rd November 2018A meal deal has 5 mains, 9 sides and 4 drinks. How many different meals are possible?
- 24th November 2018Make x the subject of y = 8x^2 - 2.
- 25th November 2018y is inversely proportional to x. When x = 6, y = 4. Work out y when x = 4.
- 26th November 2018In triangle ABC, angle A is 48°, angle B is 47° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th November 20182 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th November 2018Four classes in order have frequencies 12, 7, 3, 6. Write down the cumulative frequency at the end of the third class.
- 29th November 2018A mass is 18.8 kg, correct to 1 decimal place. Write down the lower bound.
- 30th November 2018Factorise x^2 - 100.