May/June 2026 Paper 62

2026 · 4 questions · 24 parts · 40 marks

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1(a)(i)Easy2 marks
A student determines the density of a wooden block by two different methods. Figure 1.1 shows a full-size diagram of the wooden block.
Figure 1.1, a full-size diagram of a rectangular wooden block, with length l and height h marked, beside a side view of the same block showing height h and width w
Method 1
Measure the length , the width and the height of the wooden block in centimetres to the nearest millimetre.
1(a)(ii)Easy1 mark
Calculate the volume of the wooden block. Use the equation:
1(b)(i)Easy1 mark
The student uses a balance to measure the mass of the block. The balance reading is shown in Figure 1.2.
Figure 1.2, a wooden block sitting on a balance with a digital display
Record the mass of the block to the nearest gram.
1(b)(ii)Easy1 mark
Calculate a value for the density of the block. Use your results from 1(a)(ii) and 1(b)(i) and the equation:
1(c)Easy1 mark
Method 2
The student is provided with two beakers, X and Y. Each beaker contains 200 cm of water. The student is also provided with a measuring cylinder containing water. The measuring cylinder is shown in Figure 1.3.
Figure 1.3, a measuring cylinder graduated in cubic centimetres from below 50 to 80, with the water level between two of the marks
Record the volume of water in the measuring cylinder.
1(d)Easy1 mark
The student places the wooden block onto the surface of the water in beaker X. The level of the water in beaker X rises as the wooden block displaces water and floats. The student places beaker Y as close as possible to beaker X, as shown in Figure 1.4.
Figure 1.4, two beakers side by side on a bench: beaker X holding water with the wooden block floating on the surface, and beaker Y holding water
The student pours water from the measuring cylinder into beaker Y until the level of the water in beaker Y is the same as the level of the water in beaker X. The water remaining in the measuring cylinder, after the water has been poured into beaker Y, is shown in Figure 1.5.
Figure 1.5, a measuring cylinder graduated in cubic centimetres from below 50 to 80, with the water level between two of the marks
Record the volume of water remaining in the measuring cylinder. Determine a value for the volume of water displaced by the block. Use the equation:
1(e)Easy1 mark
A second value for the density of the block can be calculated using the equation:
where = 1.0 g / cm. Use your answers to 1(d) and 1(a)(ii) to calculate .
1(f)Medium2 marks
Two quantities can be considered to be equal within the limits of experimental accuracy if their values are within 10% of each other. State whether your values of from method 1 and from method 2 can be considered equal. Support your statement with a calculation.

Your answer

1(g)Medium1 mark
State one technique that the student uses in 1(d) of method 2 to ensure that the levels of the water in beakers X and Y are the same.