Daily Practice · Higher
March 1965 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1965 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1965Factorise x^2 - 121.
- 2nd March 1965x : y = 3 : 7. Write y in terms of x.
- 3rd March 1965A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 4th March 196516 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th March 1965A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 6th March 1965Write the recurring decimal 0.555... as a fraction in its simplest form.
- 7th March 1965A region is defined by y <= -2x + 9. Should the boundary line be solid or dashed, and why?
- 8th March 1965A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 9th March 1965The point (3, -6) is enlarged by scale factor -1 about the centre (-4, -4). Write down the coordinates of the image.
- 10th March 19652 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th March 1965A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 12th March 1965Work out 36^(3/2).
- 13th March 1965Factorise x^2 + 6x - 7.
- 14th March 1965y is inversely proportional to x. When x = 8, y = 6. Work out y when x = 3.
- 15th March 1965Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 945 cm^3. Work out the volume of the smaller.
- 16th March 196517 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th March 1965Four classes in order have frequencies 3, 4, 10, 12. Write down the cumulative frequency at the end of the third class.
- 18th March 1965Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 19th March 1965Work out the equation of the line parallel to y = -5x + 3 that passes through (5, -33).
- 20th March 1965y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 5.
- 21st March 1965A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 22nd March 19651 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd March 196515 beetles are marked and released. Later 36 are caught, of which 4 are marked. Estimate the population.
- 24th March 1965A meal deal has 5 mains, 3 sides and 4 drinks. How many different meals are possible?
- 25th March 1965A line has equation y = 3x + 4. Work out the gradient of any line perpendicular to it.
- 26th March 1965y is directly proportional to x. When x = 3, y = 30. Work out y when x = 2.
- 27th March 1965ABCD is a cyclic quadrilateral. Angle ABC is 126°. Work out angle ADC.
- 28th March 19659 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th March 1965A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th March 1965A mass is 410 kg, correct to the nearest 10. Write down the lower bound.
- 31st March 1965For the curve y = -100/x, work out y when x = -10, and write down the equation of its vertical asymptote.