Daily Practice · Higher
April 1957 5-a-day
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The batch download puts all 5 tiers' April 1957 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1957
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1957A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 2nd April 1957A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd April 195726 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th April 1957A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 5th April 1957Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 6th April 1957Make x the subject of y = 3x^2 - 3.
- 7th April 1957y is inversely proportional to x. When x = 2, y = 16. Work out y when x = 4.
- 8th April 1957In triangle ABC, angle A is 51°, angle B is 76° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th April 19575 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th April 1957Four classes in order have frequencies 7, 4, 4, 11. Write down the cumulative frequency at the end of the third class.
- 11th April 1957A meal deal has 9 mains, 3 sides and 3 drinks. How many different meals are possible?
- 12th April 1957Factorise x^2 - 144.
- 13th April 1957y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 9.
- 14th April 1957A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 15th April 195727 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th April 195710 voles are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.
- 17th April 1957A mass is 28.5 kg, correct to 1 decimal place. Write down the lower bound.
- 18th April 1957A region is defined by y <= -4x + 5. Should the boundary line be solid or dashed, and why?
- 19th April 1957y is directly proportional to x. When x = 5, y = 45. Work out y when x = 7.
- 20th April 1957The point (2, -5) is enlarged by scale factor -3 about the centre (1, 1). Write down the coordinates of the image.
- 21st April 19571 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd April 1957A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd April 1957Write 2^-2 as a fraction.
- 24th April 1957Factorise x^2 + 2x - 15.
- 25th April 1957A town's population is 19000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 26th April 1957Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 72 cm^3. Work out the volume of the smaller.
- 27th April 195719 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th April 1957A box plot has a minimum of 4 and a maximum of 45. Work out the range.
- 29th April 1957Work out (2 x 10^3) x (7 x 10^4). Give your answer in standard form.
- 30th April 1957Work out the equation of the line parallel to y = -5x + 5 that passes through (5, -26).