Daily Practice · Higher
January 1998 - Higher 5-a-day
Every Higher sheet published in January 1998, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' January 1998 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1998
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1998Make x the subject of y = 3x^2 - 11.
- 2nd January 1998y is directly proportional to x. When x = 5, y = 30. Work out y when x = 11.
- 3rd January 1998In triangle ABC, angle A is 63°, angle B is 43° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th January 19984 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th January 1998A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th January 1998A bill is £48 including VAT at 20%. Work out the amount before VAT.
- 7th January 1998Factorise x^2 - 144.
- 8th January 1998A town's population is 15500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 9th January 1998A 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.
- 10th January 199819 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th January 1998A box plot has a minimum of 11 and a maximum of 66. Work out the range.
- 12th January 1998A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th January 1998A region is defined by y < 4x + 5. Should the boundary line be solid or dashed, and why?
- 14th January 1998A block has volume 190 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 15th January 1998The point (-3, -6) is enlarged by scale factor -2 about the centre (1, -2). Write down the coordinates of the image.
- 16th January 19983 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th January 1998A box plot has minimum 5, lower quartile 13, median 20, upper quartile 27 and maximum 32. Work out the interquartile range.
- 18th January 1998Work out (64 x 10^9) / (8 x 10^3). Give your answer in standard form.
- 19th January 1998Factorise x^2 + 5x - 36.
- 20th January 1998x : y = 4 : 9. Write y in terms of x.
- 21st January 1998Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 176 cm^3. Work out the volume of the smaller.
- 22nd January 199816 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd January 1998A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 24th January 1998Write the recurring decimal 0.333... as a fraction in its simplest form.
- 25th January 1998Work out the equation of the line parallel to y = -x - 6 that passes through (1, -10).
- 26th January 1998A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 27th January 1998A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 28th January 19987 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th January 1998A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 30th January 1998Work out 216^(2/3).
- 31st January 1998A line has equation y = -3x + 1. Work out the gradient of any line perpendicular to it.