Math Word Problems Worksheet Page 10
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1119.
Notes: If no method is shown, award (M1)(A1) if and only if answer is correct, otherwise award
zero marks. However, award (M1) if correct method is shown; even if final answer is wrong.
1
(a)
(i)
p =
= 1.56 (2 d.p.)
(M1)(A1)
. 0
64
1
(ii)
q =
= 5.26 (2 d.p.)
(M1)(A1)
4
. 0
19
Notes: For parts (a)(i) and (a)(ii) accept and follow through
with conversions routed via candidate’s home currency. For
example:
USD 1 = GBP 0.64
GBP 1 = FFR 8.33
USD 1 = FFR (0.64) (8.33)
q = 5.33 instead of 5.26
GBP (1500 × 0.64) = GBP 960.00
(b)
(i)
(M1)(A1)
2
Note: Accept (1500 ÷ 1.56 (or candidate’s p)) = GBP 961.54
(0.015 × 960) = GBP 14.40
(ii)
(a)
(A1)
1
Note: Follow through from part (b)(i) above.
(960 – 14.40) = GBP 945.60
(b)
(A1)
1
Note: Follow through from parts (b)(i) and (b)(ii)(a).
4
(c)
(i)
700(1.05)
= GBP 850.85
(M1)
Therefore interest = GBP 150.85
(A1)
2
5
(ii)
700(1.05)
= 893.397... = 893.40(2 d.p.)
(M1)
6
700(1.05)
= 938.066... = 938.07 (2 d.p.)
therefore after 6 years
(A1)
2
Note: Accept other correct methods.
4
(d)
C(1.05)
= 900
900
C =
(M1)
4
. 1 (
05
)
Notes: Award the (M1) at the point where C has been correctly
isolated
900
Accept C =
= GBP 738
1.22
= GBP 740 (nearest GBP)
(A1)
2
[14]
IB Questionbank Mathematical Studies 3rd edition
10
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