May/June 2026 Paper 63

2026 · 4 questions · 23 parts · 40 marks

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1(a)(i)1(a)(ii)1(a)(iii)1(a)(iv)1(a)(v)1(b)(i)1(b)(ii)1(b)(iii)1(c)

–/11 mks

2(a)(i)2(a)(ii)2(b)(i)2(b)(ii)2(b)(iii)2(c)

–/11 mks

3(a)3(b)3(c)(i)3(c)(ii)3(c)(iii)3(c)(iv)3(d)

–/11 mks

–/7 mks

Context for question 1

A student has five identical coins. The student measures the density of one of these coins by two different methods. Method 1

1(a)(i)Easy1 mark

The student measures the mass

m_{1}

of one coin. The reading on the balance is shown in Figure 1.1.

Figure 1.1, an electronic balance with a coin on the pan and a digital display

Record the mass of the coin to two significant figures.

1(a)(ii)Easy1 mark

The student slowly lowers the five coins into a measuring cylinder until they are completely covered with water. Figure 1.2 shows the initial volume of water in the measuring cylinder. Figure 1.3 shows the final reading on the measuring cylinder after the coins have been lowered in.

Figures 1.2 and 1.3, two measuring cylinders graduated in cubic centimetres: the first shows the initial volume of water and the second the water level after the stack of coins has been lowered in

Record the initial and final readings on the measuring cylinder.

1(a)(iii)Easy1 mark

Calculate the volume

V_{1}

of one coin. Use your values from 1(a)(ii) and the equation:

V_{1} = \frac{final reading - initial reading}{5}

1(a)(iv)Easy1 mark

Describe one technique for measuring the volume of water in the measuring cylinder to ensure an accurate reading. You may draw on Figure 1.2.

Your answer

1(a)(v)Easy2 marks

Calculate the density

ρ_{1}

of one coin. Use your values from 1(a)(i) and 1(a)(iii) and the equation:

ρ_{1} = \frac{m _{1}}{V _{1}}

Include the unit.

Context for 1(b)

Method 2 The student makes a stack of the five coins, as shown in Figure 1.4. The coins are drawn full size.

Figure 1.4, a stack of five coins drawn full size standing on a flat surface, with the total height h5 marked by a double-headed arrow between dashed lines

The student records the mass

m_{5}

of the five coins.

m_{5}

= 43.6 g

1(b)(i)Easy1 mark

Measure the height

h_{5}

of the five coins in Figure 1.4.

1(b)(ii)Easy1 mark

The radius

r

of each coin is 1.2 cm. Calculate the volume

V_{5}

of the five coins. Use your value from 1(b)(i) and the equation:

V_{5} = π \times r^{2} \times h_{5}

1(b)(iii)Easy1 mark

Calculate another value

ρ_{2}

for the density of one coin. Use the values from 1(b) and the equation:

ρ_{2} = \frac{m _{5}}{V _{5}}

1(c)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

ρ_{1}

from method 1 and

ρ_{2}

from method 2 can be considered equal. Support your statement with a calculation.

Your answer