Daily Practice · Higher
September 1994 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1994 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1994A line has equation y = -4x + 4. Work out the gradient of any line perpendicular to it.
- 2nd September 1994y is directly proportional to x. When x = 5, y = 30. Work out y when x = 12.
- 3rd September 1994ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 4th September 199421 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 September 1994A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th September 1994A meal deal has 6 mains, 5 sides and 5 drinks. How many different meals are possible?
- 7th September 1994For the curve y = 60/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 8th September 1994A town's population is 11000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 9th September 1994A, B and C are points on a circle with centre O. Angle AOC is 54°. Work out angle ABC, where B is on the major arc.
- 10th September 19944 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th September 1994A box plot has a minimum of 20 and a maximum of 76. Work out the range.
- 12th September 1994A mass is 400 kg, correct to the nearest 10. Write down the lower bound.
- 13th September 1994Expand and simplify (x - 1)(x + 4)(x + 4).
- 14th September 1994A block has volume 145 cm^3 and density 4 g/cm^3. Work out its mass.
- 15th September 1994A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 16th September 199427 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 September 1994A box plot has minimum 9, lower quartile 18, median 21, upper quartile 24 and maximum 33. Work out the interquartile range.
- 18th September 1994Write 4^-2 as a fraction.
- 19th September 1994Make x the subject of y = 9x^2 - 5.
- 20th September 1994x : y = 4 : 9. Write y in terms of x.
- 21st September 1994In triangle ABC, angle A is 33°, angle B is 59° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd September 19947 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd September 1994A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 24th September 1994Work out (8 x 10^8) x (4 x 10^2). Give your answer in standard form.
- 25th September 1994Factorise x^2 - 81.
- 26th September 1994A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 27th September 1994A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 28th September 199418 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th September 1994A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 30th September 1994Write the recurring decimal 0.3333... as a fraction in its simplest form.