Daily Practice · Higher
July 1999 - Higher 5-a-day
Every Higher sheet published in July 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 1999 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1999Factorise x^2 + 13x + 42.
- 2nd July 1999y is directly proportional to x. When x = 8, y = 24. Work out y when x = 6.
- 3rd July 1999Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 378 cm^3. Work out the volume of the smaller.
- 4th July 199912 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th July 1999A cumulative frequency graph is drawn for 152 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th July 1999Write the recurring decimal 0.777... as a fraction in its simplest form.
- 7th July 1999Work out the equation of the line parallel to y = 5x + 1 that passes through (1, 17).
- 8th July 1999A town's population is 13500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 9th July 1999A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 10th July 19991 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th July 1999A box plot has a minimum of 5 and a maximum of 28. Work out the range.
- 12th July 1999Work out 25^(3/2).
- 13th July 1999A line has equation y = 2x + 3. Work out the gradient of any line perpendicular to it.
- 14th July 1999A block has volume 120 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 15th July 1999ABCD is a cyclic quadrilateral. Angle ABC is 100°. Work out angle ADC.
- 16th July 199918 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th July 1999A box plot has minimum 11, lower quartile 20, median 29, upper quartile 38 and maximum 41. Work out the interquartile range.
- 18th July 1999Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 19th July 1999For the curve y = 4/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 20th July 1999x : y = 5 : 7. Write y in terms of x.
- 21st July 1999A, B and C are points on a circle with centre O. Angle AOC is 78°. Work out angle ABC, where B is on the major arc.
- 22nd July 19996 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd July 1999A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 24th July 1999A meal deal has 7 mains, 6 sides and 2 drinks. How many different meals are possible?
- 25th July 1999Expand and simplify (x - 2)(x + 4)(x - 1).
- 26th July 1999A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 27th July 1999A cone has base radius 7 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 28th July 199930 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th July 1999A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 30th July 1999A mass is 600 kg, correct to the nearest 10. Write down the lower bound.
- 31st July 1999Make x the subject of y = 9x^2 - 10.