Daily Practice · Higher
October 1975 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1975 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1975ABCD is a cyclic quadrilateral. Angle ABC is 82°. Work out angle ADC.
- 2nd October 197514 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd October 1975A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 4th October 1975Work out (3 x 10^7) x (9 x 10^2). Give your answer in standard form.
- 5th October 1975For the curve y = -10/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 6th October 1975A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 7th October 1975A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 8th October 19755 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th October 1975A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 10th October 1975Write the recurring decimal 0.1313... as a fraction in its simplest form.
- 11th October 1975Expand and simplify (x + 3)(x + 1)(x - 2).
- 12th October 1975y is inversely proportional to x. When x = 7, y = 48. Work out y when x = 12.
- 13th October 1975A cone has base radius 10 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 14th October 197517 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th October 1975Four classes in order have frequencies 6, 6, 4, 12. Write down the cumulative frequency at the end of the third class.
- 16th October 1975A bill is £432 including VAT at 20%. Work out the amount before VAT.
- 17th October 1975Make x the subject of y = 7x^2 - 8.
- 18th October 1975y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 5.
- 19th October 1975In triangle ABC, angle A is 69°, angle B is 51° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th October 19752 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st October 197545 voles are marked and released. Later 63 are caught, of which 7 are marked. Estimate the population.
- 22nd October 1975A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd October 1975Factorise x^2 - 81.
- 24th October 1975y is directly proportional to x. When x = 2, y = 14. Work out y when x = 15.
- 25th October 1975A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 26th October 197523 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th October 1975A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th October 1975Work out (49 x 10^7) / (7 x 10^5). Give your answer in standard form.
- 29th October 1975A region is defined by y <= 2x + 7. Should the boundary line be solid or dashed, and why?
- 30th October 1975A town's population is 2000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 31st October 1975The point (-4, -5) is enlarged by scale factor -3 about the centre (3, -3). Write down the coordinates of the image.