Daily Practice · Higher
October 1993 - Higher 5-a-day
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The batch download puts all 5 tiers' October 1993 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1993y is directly proportional to x. When x = 3, y = 9. Work out y when x = 14.
- 2nd October 1993ABCD is a cyclic quadrilateral. Angle ABC is 125°. Work out angle ADC.
- 3rd October 199325 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th October 1993A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th October 1993Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 6th October 1993For the curve y = 6/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 7th October 1993A town's population is 11000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 8th October 1993A, B and C are points on a circle with centre O. Angle AOC is 150°. Work out angle ABC, where B is on the major arc.
- 9th October 19934 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th October 1993A box plot has a minimum of 17 and a maximum of 71. Work out the range.
- 11th October 1993A meal deal has 3 mains, 9 sides and 5 drinks. How many different meals are possible?
- 12th October 1993Expand and simplify (x + 3)(x - 4)(x - 5).
- 13th October 1993A block has volume 140 cm^3 and density 3 g/cm^3. Work out its mass.
- 14th October 1993A cone has base radius 3 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 15th October 199325 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th October 1993A box plot has minimum 1, lower quartile 4, median 14, upper quartile 23 and maximum 33. Work out the interquartile range.
- 17th October 1993A mass is 290 kg, correct to the nearest 10. Write down the upper bound.
- 18th October 1993Make x the subject of y = 8x^2 - 2.
- 19th October 1993x : y = 5 : 7. Write y in terms of x.
- 20th October 1993In triangle ABC, angle A is 54°, angle B is 40° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st October 19934 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd October 1993A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 23rd October 1993Write 8^-2 as a fraction.
- 24th October 1993Factorise x^2 - 36.
- 25th October 1993A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 26th October 1993A 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.
- 27th October 199321 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th October 1993A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 29th October 1993Work out (6 x 10^8) x (4 x 10^-2). Give your answer in standard form.
- 30th October 1993A region is defined by y <= -4x - 7. Should the boundary line be solid or dashed, and why?
- 31st October 1993y is inversely proportional to x. When x = 4, y = 4. Work out y when x = 2.