Ngā raruraru me ngā otinga mō te Tahuritanga o ngā waeine – ngā raruraru me ngā otinga
1. He hawhe rita o te miraka hou i konatunatua ki te ranu pūtini, kātahi ka hia te nui o te miraka hei tāpiri ki te ranu pūtini…
A. 5000 ml
B. 500 cc
C. 50 dm 3
D. 5 m 3
Mōhiotia:
Te rahinga o te miraka = 0.5 rita
E hiahiatia ana : 0.5 rita = ….. ml = ….. cm 3 (cc) = ….. dm 3 = ….. m 3
Rongoā:
1 rita = 1000 miririta (1000 ml)
1 rita = 0.001 m³ = 1 dm³ = 1000 cm³ ( 1000 cc)
0.5 rita = (0.5)(1000 ml) = 500 ml
0.5 dm 3 = (0.5)(1000 cc) = 500 cc
0.5 rita = 0.5 dm 3 = 0.0005 m 3
Ko te whakautu tika ko B.
2. Mēnā ka tāpirihia he 250 cc wai ki roto i te 100 miririta o te miraka wai, e hia ngā ranunga ka puta?
A. 12.5 dm3
B. 1.25 dm 3
C. 3.5 dm 3
D. 0.35 dm 3
Mōhiotia:
Te rahinga o te miraka = 100 ml
Te rōrahi o te wai = 250 cc = 250 cm3
E hiahiatia ana : 100 ml + 250 cc = ….. dm 3
Rongoā:
ml = miririta
cc = cm 3 = henimita pūtoru
dm 3 = mita teki pūtoru
1 dm 3 = 1 rita = 1000 miririta, nō reira ko te 100 miririta = 100/1000 rita = 1/10 rita = 0.1 rita = 0.1 dm 3
1 dm 3 = 1000 cm 3 , kia 250 cm 3 = 250/1000 dm 3 = 1/4 dm 3 = 0.25 dm 3
100 ml + 250 cm3 = 0.1 dm3 + 0.25 dm3 = 0.35 dm3
Ko te whakautu tika ko D.
3. He akomanga he 10 m te roa, ā, he 8 m te whānui, e whakamahi ana i te uku hei papa . Ko te rahi o te uku he 20 cm x 20 cm. Ko te maha o ngā uku kei runga i te papa o te rūma ko….
A. 20
B. 200
C. 2000
D. 20000
Mōhiotia:
Te rahi o te rūma:
Te roa = 10 mita
Whānui = 8 mita
Te rahi o te rūma = 10 mx 8 m = 80 m²
Te rahi o te uku:
Te roa = 20 henemita
Whānui = 20 henemita
Te horahanga o te uku = 20 cm x 20 cm = 400 cm 2
E hiahiatia ana: Te maha o ngā uku i whakamahia hei papa
Rongoā:
1m=100cm
1 m² = 10,000 cm²
Nō reira, 80 m² = 80 x 10,000 henimita 2 = 800,000 henimita 2
Te maha o ngā uku = te horahanga o te rūma / te horahanga o te uku
Te maha o ngā uku = 800,000 cm 2 / 400 cm 2
Te maha o ngā uku = 2000
Ko te whakautu tika ko C.
4. Ia hēkona, e maturuturu ana te 4 cc wai mai i tētahi ika ika ki roto i tētahi ipu 5 rita . Ka kī tonu te ipu i roto i ngā hēkona …..
A. 125 hēkona
B. 200 hēkona
C. 1250 hēkona
D. 2000 hēkona
Mōhiotia:
1 rita = 1 dm 3 = 1000 cm 3
Te rōrahi o te wai = 4 cc = 4 cm3
Te rōrahi o te ipu = 5 rita = 5 dm 3 = 5 x 1000 cm 3 = 5000 cm 3
E hiahiatia ana: Te wā e whakakīia ai te ipu ki te wai
Rongoā:
5000 henimita 3 / 4 henimita 3 = 1250 hēkona
Ko te whakautu tika ko C.
5. I hokona e Whaea he wai inu e 2 karani (1 karani = 19 rita) mō te utu $2 . Mena he 200 ml te rōrahi o te kapu wai , tātaihia te utu mō te kapu wai.
Mōhiotia:
1 karani = 19 rita
2 karani = 2 x 19 rita = 38 rita
1 rita = 1000 miririta
38 rita = 38 x 1000 miririta = 38,000 miririta
1 karāhe wai = 200 miririta
E hiahiatia ana: Te utu mō te kapu wai
Rongoā:
2 karani wai = 38 rita = 38,000 miririta
1 kapu wai = 200 miririta
38,000 ml / 200 ml = 190
I roto i ngā karani wai e 2 e 190 kapu wai.
Te utu mō te 2 karani wai = $2
Te utu mō te kapu wai kotahi = $2 / 190 = $0.01
1. Rapanga: Tahurihia te 50 kiromita ki te maero. (1 maero ≈ 1.60934 km)
Otinga: 50 km × (1 maero/1.60934 km) = 31.07 maero.
2. Raruraru: E rua rita wai kei a koe. E hia ngā miririta o tēnā? (1 rita = 1,000 miririta)
Otinga: 2 rita × 1,000 ml/rita = 2,000 ml.
3. Raruraru: E 8 pauna 5 auneke te taumaha o te pēpi. Tahurihia tēnei ki ngā karamu. (1 pauna = 453.59237 karamu me te 1 auneke = 28.3495 karamu)
Otinga: 8 pauna × 453.59237 karamu/pauna + 5 auneke × 28.3495 karamu/auneke = 3,628.73896 karamu + 141.7475 karamu = 3,770.48646 karamu.
4. Raruraru: E 100 karani wai kei roto i tētahi tāke. Tahurihia tēnei ki ngā rita. (1 karani ≈ 3.78541 rita)
Otinga: 100 karani × 3.78541 rita/karani = 378.541 rita.
5. Rapanga: Tahurihia te 250 henimita ki te mita. (100 henimita = 1 mita)
Otinga: 250 cm ÷ 100 cm/mita = 2.5 mita.
6. Raruraru: E 55 maero ia hāora te tere o te haere o tētahi motuka. Tahurihia tēnei tere ki ngā putu ia hekona. (1 maero = 5,280 putu me te 1 hāora = 3,600 hēkona)
Otinga: 55 maero × 5,280 putu/maero ÷ 3,600 hēkona = 81.78 putu/hekona.
7. Raru: E 200 karamu te huka e hiahiatia ana mō tētahi tunu. Tahurihia tēnei ki ngā auneke. (1 auneke ≈ 28.3495 karamu)
Otinga: 200 karamu × (1 auneke/28.3495 karamu) = 7.055 auneke.
8. Raruraru: E 300 putu tapawha te rahi o tētahi rūma. Tahurihia tēnei ki ngā mita tapawha. (1 putu tapawha ≈ 0.092903 mita tapawha)
Otinga: 300 putu tapawha × 0.092903 mita tapawha/putu tapawha = 27.8709 mita tapawha.
9. Raru: He taura tāu e 150 inihi te roa. Tahurihia tēnei ki ngā iāri. (1 iāri = 36 inihi)
Otinga: 150 inihi ÷ 36 inihi/iari = 4.1667 iari.
10. Raruraru: Kei roto i te pounamu he 500 miririta hinu. Tahurihia tēnei ki ngā kuata. (1 kuata ≈ 946.353 miririta)
Otinga: 500 miririta × (1 kuata/946.353 miririta) = 0.5283 kuata.
