NMA Mathex 2021 Year 7 Practice Question 1 How many days are in 9 weeks and 5 days? A: 77 days B: 68 days C: 50 days D: 63 days First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Practice Question 2 I have goldfish, dogs, and lambs for pets. If I have 3 goldfish and 2 dogs which represent one-third of all my pets, how many lambs do I have? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Practice Question 3 Each school bus can hold a maximum of 68 passengers. How many school buses are needed to transport 295 students and 24 adults as passengers? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 1 With a Flybuys card, you earn 1 “reward points” for each $25 you spend at New World. When Aroha spends $275 at the store, how many reward points did she earn? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Find the value of Year 7 Question 2 10 + 9 - 8 + 7 - 6 + 5 - 4 + 3 - 2 + 1 1+2-3+4-5+6 First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 3 The product of two whole numbers is 72, while their sum is 22. What is the positive difference between these two numbers? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 4 157 minutes after 10:00 am is how many minutes before 1:00 pm? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 5 Length of side AB of the triangle is 16 cm, its area is 96 cm² and its perimeter is 48 cm. What is the length of the side AC? First attempt:________________________ Second attempt:________________________ Third attempt:________________________ NMA Mathex 2021 Year 7 Question 6 How many times is there the 31st of the month in any one year? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 7 A builder employs 8 people to build a school hall. They take 4 months to do the job. If he had employed just 2 people, how many months would they have taken? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 8 A, B, C, D, and E are 5 consecutive integers. If B + C + D = 93 , then calculate the value of A + B + C + D + E First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 9 A palindrome is an integer that reads the same forward and backwards. For example, 4312134 is a 7 digit palindrome. How many 3 digit palindromes are odd? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 10 I am even. I am less than 100 but greater 50. I am divisible by 12. The sum of my digits is 15 What number am I? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 11 The numbers from 1 to 15 are written on separate cards. One is chosen at random. Find the probability that the number is a multiple of 6. First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 12 The number I am thinking of is the square of the number of primes from 1 to 20. Find my number. First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 13 This cuboid has dimensions 6 cm by 8 cm by 2.5 cm. What is the total surface area? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 14 Nikau, Ariki and Manaia are members of the same family. Ariki is 3 years older than Nikau. Manaia is 5 years older than Ariki. The sum of their three ages is 32 years. How old is each one of them? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 15 A cyclist is cycling at a speed of 24 km per hour. How far will the cyclist get in 20 minutes ? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 16 A car tank when ⅔ full contains 48 litres. What is the capacity of the tank? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 17 There are 12 people in a room. 6 people are wearing socks and 4 people are wearing shoes, 3 people are wearing both. How many people are in bare feet? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 18 How many triangles? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Find the area of the figure shown: Year 7 Question 19 First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Question 20 Three teenagers compare their ages. They have a median age of 14 and a mean age of 15. The range of their ages is 5. How old is each teenager? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Tie Breaker Question 1: Name the decimal that satisfies the following clues: Clue 1: is between one and ten Clue 2: has three digits Clue 3: has the same digit in the ones and hundredths place Clue 4: is bigger than five Clue 5: if you add thirty five hundredths to it you get a whole number First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Tie Breaker Question 2: When a third of a number is subtracted from a half of the same number, 4 is the result. Find the number. First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ NMA Mathex 2021 Year 7 Tie Breaker Question 3: Which two numbers have a total of 31 and a difference of 7? First attempt:__________________________________________ Second attempt:________________________________________ Third attempt:__________________________________________ Year 7 2021 Answers Question Solution Notes 20 13, 14, 18 years old In any order. 19 1889 units² Units not required 18 12 17 5 16 72 15 8 km Units not required 14 7, 10, 15 Any order 13 166 cm² Units not required 12 64 11 2 15 1 or 0.13 or 13 % 3 10 96 9 50 Do not accept 2 : 15 (i.e ratio) 8 155 7 16 months 6 7 5 20 cm Units not required 4 23 minutes Units not required 3 14 2 3 1 11 Units not required Year 7 practice questions Question Number 3 5 buses Units not required 2 10 lambs Units not required 1 B: 68 days Multi-choice Accept B or 68 days Year 7 tie-breaker questions Question Number 3 12, 19 Units not required 2 24 Any order 1 5.65 Units not required
