Daily Practice · Higher
April 1998 - Higher 5-a-day
Every Higher sheet published in April 1998, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' April 1998 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1998
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1998Expand and simplify (x + 1)(x - 3)(x - 2).
- 2nd April 1998A town's population is 31000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 3rd April 1998A cone has base radius 2 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 4th April 199828 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th April 1998A box plot has a minimum of 9 and a maximum of 27. Work out the range.
- 6th April 1998Work out 49^(3/2).
- 7th April 1998Make x the subject of y = 7x^2 - 6.
- 8th April 1998A block has volume 175 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 9th April 1998In triangle ABC, angle A is 31°, angle B is 74° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th April 19985 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th April 1998A box plot has minimum 10, lower quartile 18, median 26, upper quartile 34 and maximum 42. Work out the interquartile range.
- 12th April 1998Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 13th April 1998Factorise x^2 - 144.
- 14th April 1998x : y = 5 : 7. Write y in terms of x.
- 15th April 1998A 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.
- 16th April 199815 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th April 1998A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 18th April 1998A meal deal has 4 mains, 5 sides and 4 drinks. How many different meals are possible?
- 19th April 1998A region is defined by y <= 5x - 4. Should the boundary line be solid or dashed, and why?
- 20th April 1998A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 21st April 1998The point (6, -3) is enlarged by scale factor -3 about the centre (-2, -2). Write down the coordinates of the image.
- 22nd April 19983 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd April 1998A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 24th April 1998A mass is 65 kg, correct to the nearest whole number. Write down the upper bound.
- 25th April 1998Factorise x^2 - x - 42.
- 26th April 1998y is inversely proportional to x. When x = 3, y = 24. Work out y when x = 4.
- 27th April 1998Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 702 cm^3. Work out the volume of the smaller.
- 28th April 199821 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th April 1998Four classes in order have frequencies 4, 12, 12, 3. Write down the cumulative frequency at the end of the third class.
- 30th April 1998Write 8^-3 as a fraction.