Daily Practice · Higher
April 1999 - Higher 5-a-day
Every Higher sheet published in April 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 1999 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1999Work out (2 x 10^3) x (5 x 10^-3). Give your answer in standard form.
- 2nd April 1999Work out the equation of the line parallel to y = -x - 3 that passes through (3, -8).
- 3rd April 1999y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
- 4th April 1999A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 5th April 19997 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th April 199930 voles are marked and released. Later 40 are caught, of which 8 are marked. Estimate the population.
- 7th April 1999Write the recurring decimal 0.6767... as a fraction in its simplest form.
- 8th April 1999A line has equation y = -3x + 3. Work out the gradient of any line perpendicular to it.
- 9th April 1999y is directly proportional to x. When x = 7, y = 28. Work out y when x = 8.
- 10th April 1999ABCD is a cyclic quadrilateral. Angle ABC is 129°. Work out angle ADC.
- 11th April 199917 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th April 1999A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th April 1999A bill is £168 including VAT at 20%. Work out the amount before VAT.
- 14th April 1999For the curve y = 35/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 15th April 1999A town's population is 7500 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 16th April 1999A, B and C are points on a circle with centre O. Angle AOC is 76°. Work out angle ABC, where B is on the major arc.
- 17th April 19993 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th April 1999A box plot has a minimum of 11 and a maximum of 21. Work out the range.
- 19th April 1999A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th April 1999Expand and simplify (x + 1)(x + 4)(x + 3).
- 21st April 1999A block has volume 40 cm^3 and density 4 g/cm^3. Work out its mass.
- 22nd April 1999A cone has base radius 2 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd April 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.
- 24th April 1999A box plot has minimum 5, lower quartile 15, median 22, upper quartile 25 and maximum 32. Work out the interquartile range.
- 25th April 1999Work out (21 x 10^8) / (7 x 10^3). Give your answer in standard form.
- 26th April 1999Make x the subject of y = 2x^2 - 3.
- 27th April 1999x : y = 4 : 9. Write y in terms of x.
- 28th April 1999In triangle ABC, angle A is 32°, angle B is 83° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th April 19997 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th April 1999A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.