Daily Practice · Higher
March 1963 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1963 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1963y is directly proportional to x. When x = 7, y = 42. Work out y when x = 10.
- 2nd March 1963A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd March 196315 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th March 1963A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th March 1963Work out (56 x 10^8) / (7 x 10^2). Give your answer in standard form.
- 6th March 1963Make x the subject of y = 6x^2 - 12.
- 7th March 1963A town's population is 14000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 8th March 1963In triangle ABC, angle A is 63°, angle B is 50° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th March 19634 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th March 1963A box plot has a minimum of 9 and a maximum of 27. Work out the range.
- 11th March 1963Write the recurring decimal 0.444... as a fraction in its simplest form.
- 12th March 1963Factorise x^2 - 49.
- 13th March 1963A block has volume 60 cm^3 and density 11 g/cm^3. Work out its mass.
- 14th March 1963A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 15th March 196315 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th March 1963A box plot has minimum 14, lower quartile 24, median 26, upper quartile 29 and maximum 31. Work out the interquartile range.
- 17th March 1963Work out 27^(2/3).
- 18th March 1963A region is defined by y <= x - 2. Should the boundary line be solid or dashed, and why?
- 19th March 1963x : y = 2 : 3. Write y in terms of x.
- 20th March 1963The point (5, -6) is enlarged by scale factor -2 about the centre (-4, 0). Write down the coordinates of the image.
- 21st March 19632 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd March 1963A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 23rd March 1963Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 24th March 1963Factorise x^2 - 12x + 32.
- 25th March 1963A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 26th March 1963Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 351 cm^3. Work out the volume of the smaller.
- 27th March 196321 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th March 1963A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 29th March 1963A meal deal has 4 mains, 4 sides and 3 drinks. How many different meals are possible?
- 30th March 1963Work out the equation of the line parallel to y = -3x + 3 that passes through (6, -30).
- 31st March 1963y is inversely proportional to x. When x = 2, y = 5. Work out y when x = 5.