Daily Practice · Higher
February 1995 - Higher 5-a-day
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The batch download puts all 5 tiers' February 1995 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 19952 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd February 1995A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 3rd February 1995Work out (5 x 10^7) x (7 x 10^3). Give your answer in standard form.
- 4th February 1995Expand and simplify (x + 4)(x - 4)(x + 1).
- 5th February 1995y is inversely proportional to x. When x = 4, y = 12. Work out y when x = 3.
- 6th February 1995A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 7th February 199529 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th February 1995Four classes in order have frequencies 7, 8, 4, 6. Write down the cumulative frequency at the end of the third class.
- 9th February 1995Write the recurring decimal 0.8181... as a fraction in its simplest form.
- 10th February 1995Make x the subject of y = 8x^2 - 9.
- 11th February 1995y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 2.
- 12th February 1995In triangle ABC, angle A is 48°, angle B is 55° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th February 19951 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th February 199540 fish are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 15th February 1995A bill is £600 including VAT at 20%. Work out the amount before VAT.
- 16th February 1995Factorise x^2 - 121.
- 17th February 1995y is directly proportional to x. When x = 4, y = 20. Work out y when x = 9.
- 18th February 1995A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 19th February 199514 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th February 1995A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st February 1995A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd February 1995A region is defined by y <= -4x - 1. Should the boundary line be solid or dashed, and why?
- 23rd February 1995A town's population is 30000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 24th February 1995The point (-5, 3) is enlarged by scale factor -1 about the centre (-2, 4). Write down the coordinates of the image.
- 25th February 19953 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th February 1995A box plot has a minimum of 6 and a maximum of 53. Work out the range.
- 27th February 1995Work out (25 x 10^9) / (5 x 10^2). Give your answer in standard form.
- 28th February 1995Factorise x^2 - 4x - 45.