Daily Practice · Higher
January 1993 - Higher 5-a-day
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The batch download puts all 5 tiers' January 1993 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1993A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 2nd January 1993Write the recurring decimal 0.777... as a fraction in its simplest form.
- 3rd January 1993Make x the subject of y = 6x^2 - 8.
- 4th January 1993A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 5th January 1993In triangle ABC, angle A is 30°, angle B is 49° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th January 19931 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th January 1993A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 8th January 1993Work out 27^(2/3).
- 9th January 1993Factorise x^2 - 16.
- 10th January 1993y is inversely proportional to x. When x = 9, y = 15. Work out y when x = 3.
- 11th January 1993A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 12th January 199316 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th January 1993Four classes in order have frequencies 4, 3, 6, 6. Write down the cumulative frequency at the end of the third class.
- 14th January 1993Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 15th January 1993A region is defined by y <= 4x - 1. Should the boundary line be solid or dashed, and why?
- 16th January 1993y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 3.
- 17th January 1993The point (4, 5) is enlarged by scale factor -2 about the centre (1, 1). Write down the coordinates of the image.
- 18th January 19936 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th January 199320 beetles are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.
- 20th January 1993A meal deal has 5 mains, 7 sides and 4 drinks. How many different meals are possible?
- 21st January 1993Factorise x^2 - 4x - 45.
- 22nd January 1993y is directly proportional to x. When x = 9, y = 90. Work out y when x = 10.
- 23rd January 1993Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 918 cm^3. Work out the volume of the smaller.
- 24th January 199324 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th January 1993A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th January 1993A mass is 9 kg, correct to the nearest whole number. Write down the lower bound.
- 27th January 1993Work out the equation of the line parallel to y = -4x - 8 that passes through (3, -17).
- 28th January 1993A town's population is 35500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 29th January 1993A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 30th January 19933 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st January 1993A box plot has a minimum of 11 and a maximum of 24. Work out the range.