Daily Practice · Higher
April 1965 5-a-day
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The batch download puts all 5 tiers' April 1965 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1965A town's population is 36000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 2nd April 1965A, B and C are points on a circle with centre O. Angle AOC is 92°. Work out angle ABC, where B is on the major arc.
- 3rd April 19651 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th April 1965A box plot has a minimum of 14 and a maximum of 34. Work out the range.
- 5th April 1965Write 8^-2 as a fraction.
- 6th April 1965Expand and simplify (x - 3)(x - 4)(x - 2).
- 7th April 1965A block has volume 60 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 8th April 1965A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 9th April 196516 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th April 1965A box plot has minimum 9, lower quartile 16, median 26, upper quartile 32 and maximum 40. Work out the interquartile range.
- 11th April 1965Work out (9 x 10^3) x (8 x 10^4). Give your answer in standard form.
- 12th April 1965Make x the subject of y = 2x^2 - 9.
- 13th April 1965x : y = 4 : 7. Write y in terms of x.
- 14th April 1965In triangle ABC, angle A is 68°, angle B is 44° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th April 19655 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th April 1965A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 17th April 1965Write the recurring decimal 0.9494... as a fraction in its simplest form.
- 18th April 1965Factorise x^2 - 144.
- 19th April 1965A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 20th April 1965A 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.
- 21st April 196530 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd April 1965A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 23rd April 1965A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 24th April 1965A region is defined by y < 5x + 9. Should the boundary line be solid or dashed, and why?
- 25th April 1965y is inversely proportional to x. When x = 8, y = 40. Work out y when x = 10.
- 26th April 1965The point (-1, 3) is enlarged by scale factor -1 about the centre (-1, 4). Write down the coordinates of the image.
- 27th April 19654 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th April 1965Four classes in order have frequencies 5, 11, 11, 7. Write down the cumulative frequency at the end of the third class.
- 29th April 1965A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 30th April 1965Factorise x^2 + 5x - 6.