Daily Practice · Higher
April 1972 5-a-day
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The batch download puts all 5 tiers' April 1972 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1972In triangle ABC, angle A is 44°, angle B is 67° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd April 19722 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd April 1972A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th April 1972Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 5th April 1972Factorise x^2 - 16.
- 6th April 1972A town's population is 32000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 7th April 1972A 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.
- 8th April 197214 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th April 1972A box plot has a minimum of 11 and a maximum of 33. Work out the range.
- 10th April 1972A meal deal has 9 mains, 8 sides and 2 drinks. How many different meals are possible?
- 11th April 1972A region is defined by y <= -3x + 9. Should the boundary line be solid or dashed, and why?
- 12th April 1972A block has volume 80 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 13th April 1972The point (3, 6) is enlarged by scale factor -2 about the centre (-3, -2). Write down the coordinates of the image.
- 14th April 19726 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th April 1972A box plot has minimum 11, lower quartile 18, median 27, upper quartile 29 and maximum 37. Work out the interquartile range.
- 16th April 1972A mass is 8 kg, correct to the nearest whole number. Write down the lower bound.
- 17th April 1972Factorise x^2 - 2x - 8.
- 18th April 1972x : y = 2 : 5. Write y in terms of x.
- 19th April 1972Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 432 cm^3. Work out the volume of the smaller.
- 20th April 197216 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st April 1972A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 22nd April 1972Write 2^-3 as a fraction.
- 23rd April 1972Work out the equation of the line parallel to y = 4x + 6 that passes through (2, 6).
- 24th April 1972A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 25th April 1972A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 26th April 19724 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th April 1972A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 28th April 1972Work out (8 x 10^7) x (2 x 10^6). Give your answer in standard form.
- 29th April 1972A line has equation y = 5x + 5. Work out the gradient of any line perpendicular to it.
- 30th April 1972y is inversely proportional to x. When x = 8, y = 20. Work out y when x = 5.