order of operations
fractions
geometry
patterns
word problem
100

How many hours is 6 minutes?


6/60=0.1

100

Which is the smallest of these fraction

A 5/8 B 6/13 C 7/12 D 9/17 E 10/19

B 6/13

100
The diagram shows a square PQRS and an equilateral triangle PTS built inside it sharing the base AS. What is the size of the angle angle RPT?

15

100

Look at the number sequence: 2, 5, 10, 17, 26, ... Following this same pattern, what is the 8th term in the sequence?

A. 50
B. 57
C. 65
D. 82

C. 65
100

Kiwi fruit contain roughly two and a half times as much vitamin C as the same weight of oranges. What weight of kiwi fruit contains approximately the same amount of vitamin C as 1kg of oranges?

  • A: 100g
  • B: 200g
  • C: 250g
  • D: 400g
  • E: 550g

D: 400g 

1000/2.5 

200

How many of the following five options are factors of 30?


A 1 B 2 C 3 D 4 E 5


200

Which of the following has the biggest value?

A 1/2 of 24 B 1/3 of 36 C 1/4 of 60 D 1/5 of 50 E 1/6 of 84

C 1/4 of 60

200

The perimeter of a regular octagon Q is 80cm. A regular decagon P has a perimeter that is 8 times the perimeter of Q. What is the length of each edge of the decagon P?

64

Perimeter of P = 8 x 80 = 640 

Length of each edge = 640/10=64cm

200

Consider the number sequence 2, 5, 11, 23, 47, ... where each term after the first is obtained by doubling the previous term and adding 1. What is the 7th term of this sequence?

A. 189
B. 191

C. 193

D. 383



B: 191 

200

The White Rabbit has an appointment to see the Red Queen at 4pm every day apart from weekends. On Monday, he arrives 16 minutes late. Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late each day. On what day of the week does he arrive just 15 seconds late?

A Monday B Tuesday C Wednesday D Thursday E Friday

B Tuesday 

300

Use basic operations for numbers 2, 3, 4, and 5 to create 24


2 x (3+4+5)=24

300

Which of these fractions is nearest to 1?

A 12/23 B 23/34 C 34/45 D 45/56 E 56/67

E 56/67

300

A regular n-sided polygon has an interior angle that is 5 times the size of its exterior angle. What is the value of n

A: 12

B:10

C:14 

D:16

A: 12

300

Three identical small rectangular tiles are placed side-by-side without gaps to form a larger rectangle. If the perimeter of the large rectangle is 52 cm and its width is 8 cm, what is the area of one small rectangular tile?

A: 32 cm2

B: 40cm2

C: 48cm2

D: 64 cm2

C: 48cm2

300

Today is Thursday. What day will it be in 100 days' time?

  • A: Tuesday
  • B: Wednesday
  • C: Thursday
  • D: Friday
  • E: Saturday

E: Saturday 

400

Which of the following expressions gives the largest number?

  • A: 1 × 9 + 9 × 7
  • B: 1 + 9 + 9 + 7
  • C: 1 × 9 + 9 + 7
  • D: 1 + 9 × 9 + 7
  • E: 1 + 9 + 9 × 7

D (89)

400

Which of these fractions does not simplify to 1/4 ?

A 3942/15768 B  4392/17568 C 5796/23184 D 6957/31248  E 795/31824

D 6957/31248

400

A regular hexagon ABCDEF and a square ABGH are drawn such that they share the common side AB, with the square lying outside the hexagon. What is the size of the angle BHC?

A. 10

B. 12.5

C. 15

D. 22.5

C. 15

400

A sequence of patterns is made using matchsticks. Pattern 1 uses 4 matchsticks, Pattern 2 uses 10 matchsticks, Pattern 3 uses 18 matchsticks, and Pattern 4 uses 28 matchsticks. Following this same growth rule, how many matchsticks are needed for Pattern 10?

A. 130

B. 110

C. 140

D. 156

A. 130


400
  • There are 25 heads in total and 60 legs in total. What is the difference between the number of humans and the number of horses?
    • A: 3
    • B: 7
    • C: 9
    • D: 11
    • E: 15

E: 15

500

In the equation 1+2@3+4@5= 27, the symbol "@" represents one of the operations +, -, ×, ÷ (the same operation in both places). Which choice makes the equation correct?

Multiplication

500

Using all of the digits from 1 to 9 inclusive, Shahb wrote down a fraction which had four digits in the numerator and five digits in the denominator. He then noticed that the fraction simplified to give exactly one half. Which of the following could have been the numerator of Shahb's fraction?

A 5314 B 6729 C 7341 D 7629 E 8359

B: 6729

500

The diagram shows a regular hexagon ABCDEF. Point P is chosen inside the hexagon such that triangle ABP is an equilateral triangle. What is the size of the angle BCP? 

A. 45 degrees

B. 60 degrees

C. 75 degrees

D. 90 degrees 



B. 60 degrees

500

A robot starts at the origin \((0, 0)\) facing North. It executes a sequence of moves: 1 step forward, turns 90 degrees right, 2 steps forward, turns 90 degrees right, 3 steps forward, turns 90 degrees right, and so on. What are the coordinates of the robot's position after completing 10 moves?

A. (5, 6)

B. (6, 4)

C. (4, 5)

D. (6, 5)

D. (6, 5)

500

Brianna has a total of £20 in 5p coins and £50 in 2p coins. How many coins does she have in total?

2,900

M
e
n
u