Daily Practice · Higher
November 1999 - Higher 5-a-day
Every Higher sheet published in November 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' November 1999 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 199919 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd November 199910 beetles are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.
- 3rd November 1999A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th November 1999Make x the subject of y = 8x^2 - 2.
- 5th November 1999y is directly proportional to x. When x = 8, y = 48. Work out y when x = 14.
- 6th November 1999In triangle ABC, angle A is 64°, angle B is 69° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th November 19998 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th November 1999A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th November 1999Work out (6 x 10^7) / (3 x 10^4). Give your answer in standard form.
- 10th November 1999Factorise x^2 - 36.
- 11th November 1999A town's population is 26500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 12th November 1999A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 13th November 199914 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th November 1999A box plot has a minimum of 11 and a maximum of 45. Work out the range.
- 15th November 1999Write the recurring decimal 0.555... as a fraction in its simplest form.
- 16th November 1999A region is defined by y <= -5x + 9. Should the boundary line be solid or dashed, and why?
- 17th November 1999A block has volume 90 cm^3 and density 4 g/cm^3. Work out its mass.
- 18th November 1999The point (-3, -5) is enlarged by scale factor -2 about the centre (-4, -3). Write down the coordinates of the image.
- 19th November 19993 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th November 1999A box plot has minimum 11, lower quartile 16, median 23, upper quartile 28 and maximum 34. Work out the interquartile range.
- 21st November 1999Work out 125^(2/3).
- 22nd November 1999Factorise x^2 - 2x - 24.
- 23rd November 1999x : y = 2 : 3. Write y in terms of x.
- 24th November 1999Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 540 cm^3. Work out the volume of the smaller.
- 25th November 19999 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th November 1999A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 27th November 1999Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 28th November 1999Work out the equation of the line parallel to y = -2x - 1 that passes through (4, -15).
- 29th November 1999A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 30th November 1999A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.