Daily Practice · Higher
April 1975 5-a-day
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The batch download puts all 5 tiers' April 1975 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1975A bill is £312 including VAT at 20%. Work out the amount before VAT.
- 2nd April 1975Expand and simplify (x + 1)(x - 3)(x + 5).
- 3rd April 1975A town's population is 34000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 4th April 1975A cone has base radius 6 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 5th April 197519 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th April 1975A box plot has a minimum of 9 and a maximum of 68. Work out the range.
- 7th April 1975A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th April 1975Make x the subject of y = 2x^2 - 12.
- 9th April 1975A block has volume 95 cm^3 and density 3 g/cm^3. Work out its mass.
- 10th April 1975In triangle ABC, angle A is 77°, angle B is 37° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th April 19752 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th April 1975A box plot has minimum 2, lower quartile 5, median 11, upper quartile 21 and maximum 27. Work out the interquartile range.
- 13th April 1975Work out (30 x 10^9) / (5 x 10^4). Give your answer in standard form.
- 14th April 1975Factorise x^2 - 144.
- 15th April 1975x : y = 3 : 5. Write y in terms of x.
- 16th April 1975A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 17th April 197520 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th April 1975A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 19th April 1975Write the recurring decimal 0.888... as a fraction in its simplest form.
- 20th April 1975A region is defined by y <= 3x - 1. Should the boundary line be solid or dashed, and why?
- 21st April 1975A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 22nd April 1975The point (3, -2) is enlarged by scale factor -3 about the centre (-1, -4). Write down the coordinates of the image.
- 23rd April 19751 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th April 1975A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 25th April 1975Work out 25^(3/2).
- 26th April 1975Factorise x^2 + 13x + 42.
- 27th April 1975y is inversely proportional to x. When x = 5, y = 18. Work out y when x = 6.
- 28th April 1975Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 128 cm^3. Work out the volume of the smaller.
- 29th April 197521 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th April 1975Four classes in order have frequencies 3, 7, 10, 5. Write down the cumulative frequency at the end of the third class.