Two straight lines cross. One angle is 133°. Find the vertically opposite angle in degrees.
Answer:
2.
Share 18 pencils between two friends in the ratio 1:2. How many does the larger share get?
Answer:
3.
Using A=1, B=2, C=3 ... Z=26:
What is the total value of the word "NUT"?
Answer:
4.
A line passes through (2, 1) and (3, 2). Which of these lines is perpendicular to it? A) (6, 1) and (9, -3); B) (5, -3) and (8, -1); C) (3, -4) and (4, -5); D) (4, 2) and (6, 5)
Answer:
5.
Decide whether this statement is always true, sometimes true, or never true.
"A 2-digit number is greater than 50."
Answer:
Section B — Practice
6.
Here are the tries scored by the Comets and the Rockets. The Comets: 20, 18, 16, 14. the Rockets: 9, 8, 15, 16. How much bigger is one mean than the other?
Answer:
7.
In a school year group, 1/6 of the children are absent today. 1/3 of those present go on a trip. What fraction of the school year group stayed at school today?
Answer:
8.
What is 1.42 × 3.5?
Answer:
9.
If a ★ b means "a times b, then add 5":
Find 5 ★ 2.
Answer:
10.
Sebastian thinks of a number, multiplies by 3, and subtracts 20. He gets 10. What is the number?
Answer:
Section C — Challenge
11.
Two numbers each round to 1,900 to the nearest 100. What is the largest possible difference between them?
Answer:
12.
This flowchart sorts numbers into two groups using one yes/no question. What question belongs in the missing box?
Answer:
13.
In a ratio 9:2:7, what fraction is the smallest part of the total?
Answer:
14.
A class of 707 children has boys:girls in ratio 5:2. 20% of boys walk to school. How many boys walk?
Answer:
15.
A wooden box has surface area 118 cm², length 2 cm, and width 7 cm. Find the height in cm.