Daily Practice · Higher
February 1997 - Higher 5-a-day
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The batch download puts all 5 tiers' February 1997 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1997In triangle ABC, angle A is 66°, angle B is 36° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd February 19977 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd February 1997A cumulative frequency graph is drawn for 216 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th February 1997Write the recurring decimal 0.4949... as a fraction in its simplest form.
- 5th February 1997Factorise x^2 - 16.
- 6th February 1997A town's population is 31000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 7th February 1997A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 8th February 199710 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th February 1997A box plot has a minimum of 13 and a maximum of 53. Work out the range.
- 10th February 1997A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 11th February 1997A region is defined by y < -3x + 1. Should the boundary line be solid or dashed, and why?
- 12th February 1997A block has volume 175 cm^3 and density 8 g/cm^3. Work out its mass.
- 13th February 1997The point (0, 0) is enlarged by scale factor -2 about the centre (-1, 0). Write down the coordinates of the image.
- 14th February 19972 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th February 1997A box plot has minimum 15, lower quartile 20, median 28, upper quartile 30 and maximum 40. Work out the interquartile range.
- 16th February 1997A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th February 1997Factorise x^2 + 4x - 5.
- 18th February 1997x : y = 3 : 8. Write y in terms of x.
- 19th February 1997Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2176 cm^3. Work out the volume of the smaller.
- 20th February 199723 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st February 1997A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 22nd February 1997Work out (12 x 10^7) / (2 x 10^2). Give your answer in standard form.
- 23rd February 1997Work out the equation of the line parallel to y = -x + 5 that passes through (2, 10).
- 24th February 1997A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 25th February 1997A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 26th February 19975 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th February 1997A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 28th February 1997Write the recurring decimal 0.333... as a fraction in its simplest form.