Daily Practice · Higher
October 2018 - Higher 5-a-day
Every Higher sheet published in October 2018, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2018 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2018Expand and simplify (x - 2)(x + 3)(x - 5).
- 2nd October 2018x : y = 3 : 8. Write y in terms of x.
- 3rd October 2018A cone has base radius 2 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 4th October 201817 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th October 2018A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 6th October 2018Work out (4 x 10^3) x (5 x 10^-6). Give your answer in standard form.
- 7th October 2018Make x the subject of y = 5x^2 - 9.
- 8th October 2018A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 9th October 2018In triangle ABC, angle A is 53°, angle B is 31° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th October 20188 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th October 2018A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 12th October 2018Write the recurring decimal 0.6262... as a fraction in its simplest form.
- 13th October 2018Factorise x^2 - 144.
- 14th October 2018y is inversely proportional to x. When x = 8, y = 6. Work out y when x = 6.
- 15th October 2018A 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.
- 16th October 201814 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th October 2018Four classes in order have frequencies 5, 3, 7, 7. Write down the cumulative frequency at the end of the third class.
- 18th October 2018A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 19th October 2018A region is defined by y < -4x + 9. Should the boundary line be solid or dashed, and why?
- 20th October 2018y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 6.
- 21st October 2018The point (1, 0) is enlarged by scale factor -2 about the centre (2, 2). Write down the coordinates of the image.
- 22nd October 20182 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd October 201820 voles are marked and released. Later 88 are caught, of which 8 are marked. Estimate the population.
- 24th October 2018A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th October 2018Factorise x^2 + 5x - 14.
- 26th October 2018y is directly proportional to x. When x = 3, y = 12. Work out y when x = 9.
- 27th October 2018Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 28th October 201817 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th October 2018A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th October 2018Work out (8 x 10^9) / (4 x 10^4). Give your answer in standard form.
- 31st October 2018Work out the equation of the line parallel to y = -5x + 4 that passes through (3, -17).