Daily Practice · Higher
January 1994 - Higher 5-a-day
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The batch download puts all 5 tiers' January 1994 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 19943 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd January 1994A box plot has a minimum of 9 and a maximum of 67. Work out the range.
- 3rd January 1994Work out (8 x 10^5) x (7 x 10^5). Give your answer in standard form.
- 4th January 1994A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 5th January 1994A block has volume 85 cm^3 and density 3 g/cm^3. Work out its mass.
- 6th January 1994ABCD is a cyclic quadrilateral. Angle ABC is 75°. Work out angle ADC.
- 7th January 199413 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th January 1994A box plot has minimum 8, lower quartile 12, median 17, upper quartile 27 and maximum 32. Work out the interquartile range.
- 9th January 1994Write the recurring decimal 0.7777... as a fraction in its simplest form.
- 10th January 1994For the curve y = -20/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 11th January 1994x : y = 3 : 5. Write y in terms of x.
- 12th January 1994A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 13th January 19945 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th January 1994A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 15th January 1994A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 16th January 1994Expand and simplify (x + 3)(x - 3)(x - 3).
- 17th January 1994A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 18th January 1994A cone has base radius 3 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 19th January 19948 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th January 1994A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 21st January 1994A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd January 1994Make x the subject of y = 5x^2 - 9.
- 23rd January 1994y is inversely proportional to x. When x = 7, y = 6. Work out y when x = 3.
- 24th January 1994In triangle ABC, angle A is 75°, angle B is 67° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th January 19941 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th January 1994Four classes in order have frequencies 7, 3, 5, 3. Write down the cumulative frequency at the end of the third class.
- 27th January 1994Work out (27 x 10^10) / (3 x 10^3). Give your answer in standard form.
- 28th January 1994Factorise x^2 - 25.
- 29th January 1994y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 9.
- 30th January 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.
- 31st January 199430 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.