Daily Practice · Higher
October 2019 - Higher 5-a-day
Every Higher sheet published in October 2019, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2019 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2019
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2019Write the recurring decimal 0.222... as a fraction in its simplest form.
- 2nd October 2019Work out the equation of the line parallel to y = 2x + 2 that passes through (6, 0).
- 3rd October 2019A town's population is 37500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 4th October 2019A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 5th October 20192 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th October 2019A box plot has a minimum of 13 and a maximum of 73. Work out the range.
- 7th October 2019Work out 81^(3/2).
- 8th October 2019A line has equation y = -3x + 4. Work out the gradient of any line perpendicular to it.
- 9th October 2019A block has volume 85 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 10th October 2019ABCD is a cyclic quadrilateral. Angle ABC is 116°. Work out angle ADC.
- 11th October 201923 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th October 2019A box plot has minimum 14, lower quartile 17, median 25, upper quartile 32 and maximum 39. Work out the interquartile range.
- 13th October 2019Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 14th October 2019For the curve y = 30/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 15th October 2019x : y = 2 : 7. Write y in terms of x.
- 16th October 2019A, B and C are points on a circle with centre O. Angle AOC is 46°. Work out angle ABC, where B is on the major arc.
- 17th October 20193 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th October 2019A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 19th October 2019A meal deal has 4 mains, 3 sides and 4 drinks. How many different meals are possible?
- 20th October 2019Expand and simplify (x + 3)(x - 5)(x - 2).
- 21st October 2019A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 22nd October 2019A cone has base radius 10 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd October 20198 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th October 2019A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 25th October 2019A mass is 630 kg, correct to the nearest 10. Write down the upper bound.
- 26th October 2019Make x the subject of y = 9x^2 - 9.
- 27th October 2019y is inversely proportional to x. When x = 8, y = 6. Work out y when x = 2.
- 28th October 2019In triangle ABC, angle A is 66°, angle B is 38° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th October 20193 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th October 2019Four classes in order have frequencies 3, 8, 12, 10. Write down the cumulative frequency at the end of the third class.
- 31st October 2019Write 6^-1 as a fraction.