Te ine me ngā tatauranga hiranga – ngā raruraru me ngā otinga
1. Ko te roa o tētahi mea i inehia mā te whakamahi i te maikiromita he 15.08 mm . Tāutuhia ngā tau nui me te maha o ngā tau nui.
A. 15.08 mm me ngā matihiko hiranga e toru
B. 1.508 mm me ngā matihiko hiranga e whā
C. 15.08 mm me ngā matihiko hiranga e whā
D. 1.508 mm me ngā matihiko hiranga e toru
Rongoā:
Ngā tatauranga nui = 15.08 mm
Te maha o ngā mati hiranga = 4
Ko te whakautu tika ko C.
2. Ka inehia e tētahi ākonga te rōrahi o tētahi ipu mā te whakamahi i tētahi kapu iti he 125 cm te rōrahi . Kī tonu te ipu i muri i te whakakīnga ki ngā kapu e rua tekau mā haurua. Tātaihia te rōrahi o te ipu i runga i ngā ture tau nui.
A. 2562.5 cm 3
B. 2.56 x 10 3 henimita 3
C. 2563 cm 3
D. 2.56 x 10 -3 m 3
Rongoā:
Te rōrahi o te kapu = 125 cm 3
Te rōrahi o te ipu = 20.5 x 125 cm 3 = 2562.5 cm 3
Ko te whakautu tika ko A.
3. Whakatauhia te tte hua o te ine i tētahi mea e whakaaturia ana i te pikitia i raro nei, e ai ki ngā ture o ngā tau hiranga.
A. 4.5 mm
B. 4.6 mm
C. 4.6 mm
D. 4.6 mm
Rongoā:
Tauine matua = 4.5 mm
Tauine tuarua = 11 x 0.01 mm = 0.1 mm (e ai ki ngā ture o te whakarea o ngā tau nui)
Tte hua o te ine = 4.5 mm + 0.1 mm = 4.6 mm (e ai ki ngā ture o te tāpiri i ngā tau nui)
Ko te whakautu tika ko C.
1. Rapanga: Whakaawhiwhia te 27.6891 ki ngā mati hiranga e whā.
Otinga: 27.69 (nā te mea kāore te 1 e pā ki te tuatoru o ngā mati ira).
2. Rapanga: Ki te whakareatia te 6.34 (3 ngā matihiko nui) ki te 5.678 (4 ngā matihiko nui), e hia ngā matihiko nui me waiho mā tō whakautu?
Otinga: Me toru ngā mati hiranga o te whakautu.
3. Raruraru: I tuhia e te kaipūtaiao he hua o te 5001 karamu. E hia ngā mati hiranga o tēnei uara?
Otinga: 4 ngā mati hiranga.
4. Raru: He aha te hua ina tāpirihia te 24.5 (3 ngā matihiko nui) me te 1.789 (4 ngā matihiko nui)?
Otinga: Ko te tapeke he 26.289, engari ki te whakaarohia te tau nui, me whakaawhiwhi ki te 26.3.
5. Raruraru: Mena ka puta he tere o te 0.0056078 m/s i roto i tētahi whakamātautau ahupūngao, e hia ngā mati hiranga kei reira?
Otinga: 5 ngā mati hiranga.
6. Rapanga: Whakaawhiwhia te 0.007809 ki ngā mati hiranga e whā.
Otinga: 0.007809 (nā te mea kua whā ngā mati hiranga).
7. Raru: Ina inehia te hohonutanga o tētahi puna, ka whiwhi koe i te uara o te 78.00 mita. Ā muri ake, ka kī mai tētahi atu pānui he 78.0001 mita. Ki te toharitehia ngā uara, e hia ngā mati nui me whai i tō whakautu?
Otinga: Me whai 4 ngā mati hiranga o te toharite. Nō reira, 78.00+78.00012=78.00005 ka huri hei 78.00.
8. Raruraru: Ka ine koe i te whānui o tētahi pukapuka hei 150 mm. E hia ngā matihiko hiranga kei reira?
Otinga: 2 ngā mati hiranga.
9. Raru: He aha te hua ina wehea te 90.12 (4 ngā matihiko nui) ki te 4.0 (2 ngā matihiko nui)?
Otinga: Ko te hua ko 22.53, engari ki te whakaarohia ngā tau hiranga, me whakaawhiwhi te whakautu ki te 23.
10. Raruraru: Ka ine koe i te 0.4000 rita o te wai A me te 0.4020 rita o te wai B. Ina ripoatahia te rōrahi katoa, ki te hia ngā mati ira me ripoata tō whakautu?
Otinga: Me whakaawhiwhi koe ki te 4 ngā mati ira. Nō reira, 0.4000+0.4020=0.8020 .
11. Rapanga: Whakaawhiwhia te 50.0012 ki te rima ngā mati hiranga.
Otinga: 50.001 (nā te mea kāore te 2 e pā ki te tuawhā o ngā ira).
12. Raruraru: Ina tangohia te 45.67 (4 ngā matihiko nui) mai i te 100.1 (4 ngā matihiko nui), e hia ngā matihiko nui me whai i roto i tō whakautu?
Otinga: Me whai 4 ngā mati hiranga o te whakautu. Nō reira, 100.1 – 45.67 = 54.43.
13. Raru: I tuhia he hua hei 1020, kāore he ira tekau. E hia ngā mati hiranga o tēnei?
Otinga: 3 ngā mati hiranga.
14. Raru: He aha te hua ina tangohia te 2.3456 (5 ngā matihiko nui) mai i te 5.00 (3 ngā matihiko nui)?
Otinga: Ko te hua ko 2.6544, engari ki te whakaarohia ngā tau hiranga, me whakaawhiwhi ki te 2.65.
15. Raruraru: E hia ngā matihiko hiranga kei roto i te tau 0.005002?
Otinga: 4 ngā mati hiranga.
16. Rapanga: Whakaawhiwhia te 10.4987 ki ngā mati hiranga e toru.
Otinga: 10.5.
17. Raruraru: Ka whiwhi koe i te pānui ngaohiko o te 50.00 V mai i tētahi taputapu me te 50.0005 V mai i tētahi atu. Mēnā ka toharitehia ngā pānui, e hia ngā mati nui me puta mai i ngā hua?
Otinga: Me whai tau nui e 4 te toharite. Nō reira, 50.00+50.00052=50.00025 ka huri hei 50.00.
18. Raru: Ko te roa o te tokotoko he 200 mm. E hia ngā mati hiranga o tēnei inenga?
Otinga: 1 te mati hiranga.
19. Raru: Kei te wehewehe koe i te 4.56 (3 ngā matihiko nui) ki te 2.0 (2 ngā matihiko nui). E hia te maha o ngā matihiko nui i roto i te whakautu?
Otinga: Me rua ngā mati hiranga o te whakautu. Nō reira, 4.56 ÷ 2.0 = 2.28.
20. Raru: Ko te tawhiti i inehia i waenga i ngā tāone e rua he 100.50 km. E hia ngā matihiko hiranga o tēnei inenga?
Otinga: 5 ngā mati hiranga.
