Daily Practice · Higher
March 1996 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1996 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1996y is directly proportional to x. When x = 3, y = 9. Work out y when x = 9.
- 2nd March 1996In triangle ABC, angle A is 32°, angle B is 116° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd March 19962 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th March 1996A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th March 1996Work out (6 x 10^7) x (4 x 10^6). Give your answer in standard form.
- 6th March 1996Factorise x^2 - 25.
- 7th March 1996A town's population is 39500 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 8th March 1996A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 9th March 199612 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th March 1996A box plot has a minimum of 16 and a maximum of 28. Work out the range.
- 11th March 1996Write the recurring decimal 0.5050... as a fraction in its simplest form.
- 12th March 1996A region is defined by y <= -3x - 6. Should the boundary line be solid or dashed, and why?
- 13th March 1996A block has volume 10 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 14th March 1996The point (6, -2) is enlarged by scale factor -1 about the centre (2, -2). Write down the coordinates of the image.
- 15th March 19966 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th March 1996A box plot has minimum 2, lower quartile 9, median 11, upper quartile 13 and maximum 19. Work out the interquartile range.
- 17th March 1996A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 18th March 1996Factorise x^2 + 4x - 5.
- 19th March 1996x : y = 4 : 7. Write y in terms of x.
- 20th March 1996Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 896 cm^3. Work out the volume of the smaller.
- 21st March 199622 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd March 1996A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 23rd March 1996A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 24th March 1996Work out the equation of the line parallel to y = -5x + 8 that passes through (1, 1).
- 25th March 1996A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 26th March 1996A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 27th March 19964 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th March 1996A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 29th March 1996Work out (4 x 10^12) / (2 x 10^3). Give your answer in standard form.
- 30th March 1996A line has equation y = 3x + 8. Work out the gradient of any line perpendicular to it.
- 31st March 1996y is inversely proportional to x. When x = 3, y = 2. Work out y when x = 2.