Daily Practice · Higher
January 1963 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1963 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1963ABCD is a cyclic quadrilateral. Angle ABC is 50°. Work out angle ADC.
- 2nd January 196317 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd January 1963A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 4th January 1963Write the recurring decimal 0.222... as a fraction in its simplest form.
- 5th January 1963For the curve y = -90/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 6th January 1963y is inversely proportional to x. When x = 7, y = 24. Work out y when x = 4.
- 7th January 1963A, B and C are points on a circle with centre O. Angle AOC is 160°. Work out angle ABC, where B is on the major arc.
- 8th January 19631 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th January 1963Four classes in order have frequencies 4, 9, 9, 4. Write down the cumulative frequency at the end of the third class.
- 10th January 1963Work out 49^(3/2).
- 11th January 1963Expand and simplify (x - 4)(x + 2)(x + 1).
- 12th January 1963y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 7.
- 13th January 1963A cone has base radius 10 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 14th January 196318 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th January 196325 fish are marked and released. Later 22 are caught, of which 2 are marked. Estimate the population.
- 16th January 1963Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 17th January 1963Make x the subject of y = 9x^2 - 7.
- 18th January 1963y is directly proportional to x. When x = 8, y = 96. Work out y when x = 4.
- 19th January 1963In triangle ABC, angle A is 62°, angle B is 69° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th January 19633 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st January 1963A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd January 1963A meal deal has 8 mains, 5 sides and 4 drinks. How many different meals are possible?
- 23rd January 1963Factorise x^2 - 25.
- 24th January 1963A town's population is 20500 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 25th January 1963A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 26th January 196322 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th January 1963A box plot has a minimum of 9 and a maximum of 56. Work out the range.
- 28th January 1963A mass is 200 kg, correct to the nearest 10. Write down the upper bound.
- 29th January 1963A region is defined by y <= -x + 6. Should the boundary line be solid or dashed, and why?
- 30th January 1963A block has volume 180 cm^3 and density 3 g/cm^3. Work out its mass.
- 31st January 1963The point (2, 2) is enlarged by scale factor -1 about the centre (-2, -4). Write down the coordinates of the image.