Daily Practice · Higher
November 2017 - Higher 5-a-day
Every Higher sheet published in November 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2017 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2017A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd November 201712 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd November 2017A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 4th November 2017Write 6^-3 as a fraction.
- 5th November 2017Make x the subject of y = 6x^2 - 9.
- 6th November 2017A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 7th November 2017In triangle ABC, angle A is 66°, angle B is 70° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th November 20172 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th November 2017A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 10th November 2017Work out (4 x 10^3) x (2 x 10^6). Give your answer in standard form.
- 11th November 2017Factorise x^2 - 4.
- 12th November 2017y is inversely proportional to x. When x = 9, y = 60. Work out y when x = 12.
- 13th November 2017A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 14th November 201724 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th November 2017Four classes in order have frequencies 3, 8, 7, 8. Write down the cumulative frequency at the end of the third class.
- 16th November 2017Write the recurring decimal 0.1010... as a fraction in its simplest form.
- 17th November 2017A region is defined by y <= -4x - 2. Should the boundary line be solid or dashed, and why?
- 18th November 2017y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 19th November 2017The point (-6, 0) is enlarged by scale factor -3 about the centre (-2, -4). Write down the coordinates of the image.
- 20th November 20174 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st November 201735 beetles are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 22nd November 2017A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 23rd November 2017Factorise x^2 - x - 42.
- 24th November 2017y is directly proportional to x. When x = 2, y = 6. Work out y when x = 12.
- 25th November 2017Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 54 cm^3. Work out the volume of the smaller.
- 26th November 201716 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th November 2017A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th November 2017A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th November 2017Work out the equation of the line parallel to y = -3x + 6 that passes through (3, -5).
- 30th November 2017A town's population is 10000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.