Page 28 - PWR UP TG2 MATHS

Matematik Tingkatan 2 Bab 2
6. Selesaikan setiap yang berikut. SP 2.1.4
Solve each of the following.
(a) Shao Kang membeli p buah buku latihan dengan (b) Seetha mempunyai sebidang tanah berbentuk
harga RM(q + 1) sebuah dan q buah buku rujukan segi empat tepat seperti yang ditunjukkan
dengan harga RM(p + 2) sebuah. Dia membayar dalam rajah di bawah. Cari luas, dalam m , tanah
2
dengan harga RM5pq. Hitung baki wang yang itu. TP4
diterimanya, dalam RM. Seetha has a piece of rectangular land as shown in the
2
Shao Kang bought p exercises book at RM(q + 1) each and diagram below. Find the area, in m , of the land.
q reference books at RM(p + 2) each. He paid at the price of
RM5pq. Calculate the balance he received, in RM. TP4
Baki/ Balance (4x + 3) m
= 5pq – p(q + 1) – q(p + 2)
= 5pq – pq – p – pq – 2q (7x + 5) m
2
= 3pq – p – 2q Luas tanah / Area of land (m )
= (7x + 5)(4x + 3)
Baki wang/ Balance = 28x + 21x + 20x + 15
2
= RM(3pq – p – 2q)
= 28x + 41x + 15
2

(c) Kelab Matematik sebuah sekolah ingin menjual roti sandwic sempena Hari Kantin. Mereka memerlukan
30 tin sardin dan 15 buku roti. Rajah di bawah menunjukkan harga sardin dan roti di dua buah pasar
raya. TP5 KBAT Menganalisis
Mathematics Club of a school wants to sell sandwhich during Canteen’s Day. They need 30 cans of sardine and 15 loaves of bread.
The diagram below shows the prices of sardine and bread in two supermarkets.

Pasar Raya Ekstra Pasar Raya Bajet

SARDIN SARDIN SARDIN
SARDIN SARDIN SARDIN SARDIN
4
RMs RM(r + 1) RM4s RM –– (r + 1)

5

Hitung kerugian yang dialami jika mereka membeli barang di pasaraya yang menawarkan harga yang
lebih mahal. Nyatakan jawapan dalam sebutan s dan r.
Calculate the loss incurred if they bought the items in the supermarket that offers more expensive price. State the answer in terms of
s and r.

Jumlah bayaran di Pasar Raya Ekstra/ Total payment in Pasar Raya Ekstra
= 30s + 15(r + 1)
= 30s + 15r + 15

Jumlah bayaran di Pasar Raya Bajet/ Total payment in Pasar Raya Bajet
4

= 5(4s) + 15 × (r + 1) 
5
6 tin/ cans
= 20s + 12(r + 1) 30 tin/ cans = 5
= 20s + 12r + 12
Pasar Raya Ekstra menawarkan harga yang lebih
Kerugian/ Loss = (30s + 15r + 15) – (20s + 12r + 12) mahal berbanding Pasar Raya Bajet.
Pasar Raya Ekstra offers more expensive price compared
= 30s + 15r + 15 – 20s – 12r – 12 to Pasar Raya Bajet.
= 10s + 3r + 3

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