Daily Practice · Higher
October 1999 - Higher 5-a-day
Every Higher sheet published in October 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 1999 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1999The point (-5, 6) is enlarged by scale factor -1 about the centre (2, -2). Write down the coordinates of the image.
- 2nd October 19993 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd October 1999A box plot has a minimum of 9 and a maximum of 54. Work out the range.
- 4th October 1999A mass is 19.6 kg, correct to 1 decimal place. Write down the lower bound.
- 5th October 1999Factorise x^2 - 8x + 16.
- 6th October 1999A block has volume 60 cm^3 and density 11 g/cm^3. Work out its mass.
- 7th October 1999Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 486 cm^3. Work out the volume of the smaller.
- 8th October 199911 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th October 1999A box plot has minimum 9, lower quartile 13, median 18, upper quartile 23 and maximum 29. Work out the interquartile range.
- 10th October 1999Write 3^-2 as a fraction.
- 11th October 1999Work out the equation of the line parallel to y = x - 3 that passes through (6, 17).
- 12th October 1999x : y = 5 : 8. Write y in terms of x.
- 13th October 1999A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 14th October 19991 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th October 1999A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 16th October 1999Work out (2 x 10^6) x (9 x 10^4). Give your answer in standard form.
- 17th October 1999A line has equation y = 4x + 5. Work out the gradient of any line perpendicular to it.
- 18th October 1999A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 19th October 1999ABCD is a cyclic quadrilateral. Angle ABC is 102°. Work out angle ADC.
- 20th October 199917 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st October 1999A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 22nd October 1999Write the recurring decimal 0.4646... as a fraction in its simplest form.
- 23rd October 1999For the curve y = 45/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 24th October 1999y is inversely proportional to x. When x = 3, y = 12. Work out y when x = 12.
- 25th October 1999A, B and C are points on a circle with centre O. Angle AOC is 126°. Work out angle ABC, where B is on the major arc.
- 26th October 19995 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th October 1999Four classes in order have frequencies 11, 12, 6, 7. Write down the cumulative frequency at the end of the third class.
- 28th October 1999A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 29th October 1999Expand and simplify (x + 5)(x - 5)(x + 1).
- 30th October 1999y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 7.
- 31st October 1999A cone has base radius 10 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.