Daily Practice · Higher
November 2022 - Higher 5-a-day
Every Higher sheet published in November 2022, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' November 2022 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2022
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 202235 beetles are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
- 2nd November 2022Work out 16^(3/2).
- 3rd November 2022Make x the subject of y = 7x^2 - 3.
- 4th November 2022y is directly proportional to x. When x = 7, y = 63. Work out y when x = 8.
- 5th November 2022In triangle ABC, angle A is 80°, angle B is 37° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th November 20225 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th November 2022A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th November 2022Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 9th November 2022Factorise x^2 - 144.
- 10th November 2022A town's population is 32000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 11th November 2022A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 12th November 202216 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th November 2022A box plot has a minimum of 10 and a maximum of 40. Work out the range.
- 14th November 2022A meal deal has 9 mains, 6 sides and 6 drinks. How many different meals are possible?
- 15th November 2022A region is defined by y <= 5x - 9. Should the boundary line be solid or dashed, and why?
- 16th November 2022A block has volume 120 cm^3 and density 11 g/cm^3. Work out its mass.
- 17th November 2022The point (-6, 1) is enlarged by scale factor -2 about the centre (-1, -2). Write down the coordinates of the image.
- 18th November 20221 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th November 2022A box plot has minimum 12, lower quartile 18, median 23, upper quartile 32 and maximum 36. Work out the interquartile range.
- 20th November 2022A mass is 38 kg, correct to the nearest whole number. Write down the upper bound.
- 21st November 2022Factorise x^2 + 4x - 45.
- 22nd November 2022x : y = 3 : 8. Write y in terms of x.
- 23rd November 2022Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 320 cm^3. Work out the volume of the smaller.
- 24th November 202225 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th November 2022A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 26th November 2022Write 9^-1 as a fraction.
- 27th November 2022Work out the equation of the line parallel to y = 3x - 8 that passes through (1, 6).
- 28th November 2022A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 29th November 2022A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 30th November 20224 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.