In this blog post, we explore likely Mathematics questions for JAMB 2026, breaking down each problem with a step-by-step solution. Whether you’re brushing up for UTME or targeting high scores, these worked examples will give you the clarity and confidence you need.
You can watch the full class in the video below:
Question 1: Permutation with Repeated Letters
Question:
How many different 8-letter words can be formed from the word SYLLABLES?
Solution:
First, analyze the frequency of the letters in “SYLLABLES”:
- S = 2
- Y = 1
- L = 2
- A = 1
- B = 1
- E = 1
To calculate the total number of unique arrangements with repeated letters: Total permutations=8!2!×2!\text{Total permutations} = \frac{8!}{2! \times 2!}Total permutations=2!×2!8!
This accounts for the repeated S and L.
Answer: Option C
Question 2: Indices Simplification
Question:
Evaluate 160.16×160.04×20.216^{0.16} \times 16^{0.04} \times 2^{0.2}160.16×160.04×20.2
Solution:
Step 1: Express 16 as a power of 2: 16=2416 = 2^416=24
So, (24)0.16=20.64,(24)0.04=20.16(2^4)^{0.16} = 2^{0.64}, \quad (2^4)^{0.04} = 2^{0.16}(24)0.16=20.64,(24)0.04=20.16
Now multiply: 20.64×20.16×20.2=20.64+0.16+0.2=21=22^{0.64} \times 2^{0.16} \times 2^{0.2} = 2^{0.64 + 0.16 + 0.2} = 2^1 = 220.64×20.16×20.2=20.64+0.16+0.2=21=2
Answer: Option A
Question 3: Binary Operations
Question:
Let * and ∘ be two binary operations defined as follows:
- a∗b=a2⋅ba * b = a^2 \cdot ba∗b=a2⋅b
- a∘b=2a+ba \circ b = 2a + ba∘b=2a+b
Find the value of: (−4∗2)∘(7∗−1)(-4 * 2) \circ (7 * -1)(−4∗2)∘(7∗−1)
Step 1: Solve −4∗2-4 * 2−4∗2
(−4)2⋅2=16⋅2=32(-4)^2 \cdot 2 = 16 \cdot 2 = 32(−4)2⋅2=16⋅2=32
Step 2: Solve 7∗−17 * -17∗−1
72⋅(−1)=49⋅−1=−497^2 \cdot (-1) = 49 \cdot -1 = -4972⋅(−1)=49⋅−1=−49
Step 3: Combine using ∘ operation:
32∘−49=2⋅32+(−49)=64−49=1532 \circ -49 = 2 \cdot 32 + (-49) = 64 – 49 = 1532∘−49=2⋅32+(−49)=64−49=15
Answer: 15
Watch more educational videos and past questions: https://youtube.com/@allcbts
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Explore fully worked solutions to JAMB 2026 likely math questions, including permutations, indices, binary operations, and more. Ideal for UTME preparation.
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