Daily Practice · Higher
April 1953 5-a-day
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The batch download puts all 5 tiers' April 1953 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1953Four classes in order have frequencies 10, 5, 5, 9. Write down the cumulative frequency at the end of the third class.
- 2nd April 1953Write the recurring decimal 0.333... as a fraction in its simplest form.
- 3rd April 1953Work out the equation of the line parallel to y = x + 9 that passes through (5, 10).
- 4th April 1953y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 5.
- 5th April 1953A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 6th April 19533 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th April 195360 newts are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
- 8th April 1953Work out 81^(3/2).
- 9th April 1953A line has equation y = 2x + 1. Work out the gradient of any line perpendicular to it.
- 10th April 1953y is directly proportional to x. When x = 3, y = 33. Work out y when x = 2.
- 11th April 1953ABCD is a cyclic quadrilateral. Angle ABC is 118°. Work out angle ADC.
- 12th April 195321 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th April 1953A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th April 1953Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 15th April 1953For the curve y = -24/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 16th April 1953A town's population is 34000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 17th April 1953A, B and C are points on a circle with centre O. Angle AOC is 62°. Work out angle ABC, where B is on the major arc.
- 18th April 19534 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th April 1953A box plot has a minimum of 6 and a maximum of 26. Work out the range.
- 20th April 1953A meal deal has 4 mains, 7 sides and 5 drinks. How many different meals are possible?
- 21st April 1953Expand and simplify (x + 4)(x + 4)(x - 2).
- 22nd April 1953A block has volume 155 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 23rd April 1953A cone has base radius 5 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 24th April 195321 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th April 1953A box plot has minimum 15, lower quartile 17, median 23, upper quartile 31 and maximum 36. Work out the interquartile range.
- 26th April 1953A mass is 72 kg, correct to the nearest whole number. Write down the lower bound.
- 27th April 1953Make x the subject of y = 2x^2 - 12.
- 28th April 1953x : y = 2 : 5. Write y in terms of x.
- 29th April 1953In triangle ABC, angle A is 52°, angle B is 65° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th April 19533 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.