Daily Practice · Higher
July 1963 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1963 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 196316 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd July 196340 beetles are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 3rd July 1963A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 4th July 1963Work out the equation of the line parallel to y = -2x + 4 that passes through (6, -10).
- 5th July 1963y is directly proportional to x. When x = 3, y = 12. Work out y when x = 8.
- 6th July 1963A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 7th July 19632 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th July 1963A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th July 1963A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th July 1963A line has equation y = -3x + 3. Work out the gradient of any line perpendicular to it.
- 11th July 1963A town's population is 32000 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 12th July 1963ABCD is a cyclic quadrilateral. Angle ABC is 65°. Work out angle ADC.
- 13th July 196318 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th July 1963A box plot has a minimum of 19 and a maximum of 41. Work out the range.
- 15th July 1963Work out (12 x 10^11) / (2 x 10^4). Give your answer in standard form.
- 16th July 1963For the curve y = 40/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 17th July 1963A block has volume 20 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 18th July 1963A, B and C are points on a circle with centre O. Angle AOC is 82°. Work out angle ABC, where B is on the major arc.
- 19th July 19634 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th July 1963A box plot has minimum 12, lower quartile 17, median 22, upper quartile 26 and maximum 33. Work out the interquartile range.
- 21st July 1963Write the recurring decimal 0.333... as a fraction in its simplest form.
- 22nd July 1963Expand and simplify (x + 1)(x + 4)(x - 3).
- 23rd July 1963x : y = 5 : 9. Write y in terms of x.
- 24th July 1963A cone has base radius 3 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 25th July 196321 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th July 1963A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 27th July 1963Work out 36^(3/2).
- 28th July 1963Make x the subject of y = 2x^2 - 3.
- 29th July 1963A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 30th July 1963In triangle ABC, angle A is 54°, angle B is 76° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 31st July 19636 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.