Daily Practice · Higher
October 1996 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1996 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1996A bill is £624 including VAT at 20%. Work out the amount before VAT.
- 2nd October 1996Work out the equation of the line parallel to y = -4x - 5 that passes through (6, -18).
- 3rd October 1996A town's population is 19500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 4th October 1996A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 5th October 19963 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th October 1996A box plot has a minimum of 14 and a maximum of 26. Work out the range.
- 7th October 1996A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th October 1996A line has equation y = 3x + 6. Work out the gradient of any line perpendicular to it.
- 9th October 1996A block has volume 90 cm^3 and density 4 g/cm^3. Work out its mass.
- 10th October 1996ABCD is a cyclic quadrilateral. Angle ABC is 79°. Work out angle ADC.
- 11th October 199625 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th October 1996A box plot has minimum 9, lower quartile 19, median 28, upper quartile 33 and maximum 39. Work out the interquartile range.
- 13th October 1996Work out (72 x 10^12) / (9 x 10^4). Give your answer in standard form.
- 14th October 1996For the curve y = -48/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 15th October 1996x : y = 3 : 7. Write y in terms of x.
- 16th October 1996A, B and C are points on a circle with centre O. Angle AOC is 172°. Work out angle ABC, where B is on the major arc.
- 17th October 19967 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th October 1996A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 19th October 1996Write the recurring decimal 0.111... as a fraction in its simplest form.
- 20th October 1996Expand and simplify (x - 4)(x + 1)(x - 4).
- 21st October 1996A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 22nd October 1996A cone has base radius 6 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd October 199623 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th October 1996A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 25th October 1996Work out 125^(2/3).
- 26th October 1996Make x the subject of y = 2x^2 - 8.
- 27th October 1996y is inversely proportional to x. When x = 3, y = 10. Work out y when x = 5.
- 28th October 1996In triangle ABC, angle A is 77°, angle B is 33° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th October 19962 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th October 1996Four classes in order have frequencies 6, 9, 8, 10. Write down the cumulative frequency at the end of the third class.
- 31st October 1996Write sqrt(20) in the form a sqrt(b), where b is as small as possible.